プレプリどんどん: math.NT

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-08/A Structure Sheaf for Kirch TopologyMultiple modular L-functions and modular iterated integralsRankin--Selberg coefficients in arithmetic progressions modulo prime powersThe quotient problem for linear recurrence sequencesEvaluation of eight different families of cubic Euler sums$\delta$-Badly approximable numbers and ubiquitously losing setsA multidimensional Szemer\'{e}di theorem in integersOn algebraic twists with composite moduli, IIAsymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic StructuresEquidistribution of Eigenfunctions of Quantum Cat Maps

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-07/A new perspective on the rank of Mazur's Eisenstein Hecke algebraSpecial periods and some non-tempered cases of the Gan-Gross-Prasad conjectureRational orbits under correspondencesThin subbases of Piatetski-Shapiro sequencesFixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powersA Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamplesSmall values of signed harmonic sums and logarithmic means of multiplicative functions$\mathbb{G}_m$-cohomology of $p$-adic Stein spacesStatistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fieldsExponential sums over singular binary quinticsNon-Expansive Matrix Based number SystemsMultiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sumsThe Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz EquationsThe top cohomology of principal congruence subgroups of special linear groups over Euclidean number ringsTheta functions and transformations of bilateral basic hypergeometric seriesAppell function proofs of recent and old mock theta function identitiesOn a polynomial involving quadratic residues modulo primesA Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics$p$-adic Manifold Learning and Benchmark Tasks from Impartial GamesThe McKay correspondence and local heights for wild-by-tame split metacyclic groupsEnergy and Vertex Energy of Modified Divisor Prime GraphsThe Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-06/Sign changes of the Liouville function in arithmetic progressionsMonogenity of pure quintic fields: the power of sievingBehaviour of Certain Crystalline Representations modulo $2$Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fieldsLectures on Condensed MathematicsOptimal embeddings for maximal orders of central simple algebras of degree 3 over number fieldsJoint extreme values of $L$-functions on and off the critical lineA multivariate Strassmann theoremCongruence rigidity of algebraic groupsReal approximation for homogeneous spaces with finite stabilizersOn the largest Sidon subset in a finite subset of $\mathbb{R}^N$Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequencesTable-Based Encodings for Conway's Doomsday Algorithm: Vectorized Doomsdays and DoomyearsSigned sumsets and restricted signed sumsets in groups and fieldsCharacteristic-free approaches around Yu's constructionLectures on Analytic GeometrySmall Matrices with Small Inverses: Unimodular Zerofree Cases

arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-05/Monogenic Fields from Polynomial Compositions with ApplicationsSets of integers satisfying Bateman-Horn statisticsBowen--Franks groups and minus class groups of cyclotomic number fields with prime conductorA logarithmic structure theorem for multiplicative functions with small partial sums3-class field towers with 2 or 3 stagesA note on bilinear sums with modular square rootsArchimedean arithmetic Siegel--Weil formula for general weights over Shimura curvesNumbers in a Beatty sequence which are orders only of cyclic, abelian or nilpotent groupsOn the generalized inverse tangent integral and Catalan's constantGaps in Multiplicative Sidon SetsOn the Sum of a Prime and a Number that is not Square-FreeExpansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjectureCusp forms and parabolic cohomology classes for symmetric spaces of rank oneThe generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applicationsReductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumerationFlat Cohomological Purity for Syntomic Schemes over Valuation RingsOn conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theoriesTwisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence

arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-04/The cardinality of a set containing the pairwise sums of a fixed number of integersPrimitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyondEffective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximationNotes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large PrimesExponent-one blockers and a Mordell-Weil construction of Euler bricksThe Hurwitz sum-of-squares problem depends on the base fieldModular Forms and Numerical Explorations of Rational Approximations to $\zeta(3)$On divisor sums due to Erd\H{o}s and RamanujanLang-Trotter phenomena and unlikely intersectionsA note on Zilber-Pink in $Y(1)^n$Conjectural duality for iterated $q$-integrals on $\mathbb{P}^{1}$ minus four generic pointsOn convex bodies with constant non-central sectionsDelta characters and crystalline cohomology of abelian schemesOn the largest sum-free subset of the lattice cube

arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-01/An $O_K$-basis for the image of a Lubin-Tate logarithm on $\pi$-regular extensions of $K$Mod p Monodromy of Cyclic Covers of the Projective LineSimple Lie Groups of type An as Galois groups over QOn the difference between perfect powers and integral $S$-unitsAn improved non-linear Roth-type theorem in finite fieldsA divisor function of Wigert and higher degree formsFrobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive CharacteristicA torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibersAsymptotic Vanishing of Stiefel--Whitney Classes for $\mathrm{GL}_n(\mathbb{F}_q)$Polynomial Maps with Constants on Matrix AlgebraThe proportion of permutations fixing a $k$-set

arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-30/Estimating the tail of the singular product in the multivariate Bateman-Horn conjectureCombinatorial sums derived from properties of Legendre polynomialsMonsky Matrix and 2-Selmer rankThe $p$-powers dividing certain exponential sumsSolution to the Erdos problem on distinct residues of factorialsFamilies of Unit Equations and Exponential Diophantine Problems via Integral PointsImproved bounds for the Fourier uniformity conjectureGeneralized Estermann problem for non-integer powers with almost proportional summandsOn the automorphisms of the power semigroups of a numerical semigroupMultiplicative convolution and double shuffle relationsOn Arithmetic Mirror Symmetry for smooth Fano fourfolds

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-29/Elementary anabelian varieties are anabelianRamanujan, the taxicab problem for polynomials, and the abc-conjectureLinear recurrences and rational Lambert seriesTrilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutionsReciprocity and the Maslov PhaseCongruences via Partitions with Exactly Two Part SizesAdditive index and Carlitz rankThe Divisor Function along a Deterministic Orbit and the Emergence of LaddersThe threshold for linear independence of multiple zeta values in positive characteristicCyclotomic Numbers of Order $q-1$ over $\mathbb{F}_{q^r}$Some results on naive transcendence in the ring of integers modulo infinitely large primesConditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta FunctionOn numerical semigroups with embedding dimension fourA structure theorem for sets with doubling $4+\delta$The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groupsA local-global correspondence for perfectoid purityMild Pro-$p$ Groups and Ordered Monoids

arXiv math.NTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-28/Lattice point visibility along powers of polynomialsOn the integrality of modular functions over $\mathbb{Z}[j]$ and Kronecker-type congruencesA Proof of Bala's General-$m$ Representation of the Harmonic NumbersCore abaci and Diophantine equations I: fundamental weightHybrid Conjecture in a Mixed Shimura varietyDifferences of squares of upper-triangular $2\times 2$ integer matricesOn (not) learning the M\"obius functionA necessary condition for a congruent number of the form $8k+3$$2$-Selmer groups, $2$-class groups, and congruent numbersThe Absolute Anabelian Geometry of Virtual Curves of Arbitrary GenusPicking up the partial sums of the M\"{o}bius function problem with probabilistic number theoryLarge sieve inequality for sums of Legendre symbols over short intervalsUnbounded logarithmic limsup in Erd\H{o}s problem 684On optimization on ravine functions. Minkowski-Cohn moduli surface in Cohn parameterizationNon-Vanishing of Cubic Twists of $GL_n(\mathbb{Q})$ $L$-functionsOn the Gauss circle problem over smooth numbersOn D-cap-Modules of Finite Length on Rigid Analytic SpacesLinear Bounds for Differentiable Limits of Weak Pair Correlation FunctionsOn $k$-th power Diophantine triples of the form $\{a^k, b, c\}$Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical CaseThe asymptotic oscillations of moments related to Dirichlet series with missing digitsOn the hull of linearized polynomial codesA Milestone in Formalization: The Sphere Packing Problem in Dimension 8A note on The asymptotic uniform distribution of subset sumsEleven, twelve, and thirteen lonely runnersDimension of the motivic Galois group of a 1-motiveA Necessary and Sufficient Condition for Uniqueness of Euclidean DivisionNewman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theoryOn classical doubling method gamma factors for certain depth zero representations

arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-27/A link between error terms when counting smooth and rough numbersThe exceptional set for Diophantine inequality with mixed powers of primesExceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)On a new modular equation of degree five and Eisenstein series identities of associated levelsHigher moments of the symmetric square $L$-function off the critical lineMatrices with cyclically monotone rows and Cantor numeration systemsKhintchine's theorem for inhomogeneous simultaneous approximation with polynomial decayAsymptotic behaviour of analytic torsion and cohomological torsion for $\mathbb{Q}$-rank $1$ arithmetic groupsNon-linear geometry of multiple zeta valuesNumerical Semigroups with $a_e = 2g+1$A construction method for WZ seeds

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-24/On the reciprocity law in $\mathbb{F}_{q}[t]$Extremal Problems for GCDs and LCMs in Higher DimensionsRelations between higher level Hurwitz class numbersMoments and joint nonvanishing of symplectic $L$-functionsConsecutive non-square nom-primitive pairs in as finite fieldThe Smallest Invariant Factor of Elliptic Curves, and CoincidencesGalois representations over convergent de Rham period ringResidues of a tropical zeta function for convex domainsSpherical Cap $L_2$ Discrepancy -- Blessing of Dimensionality and a Balanced Large-Cap VariantLusztig constants and endoscopy

arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-23/Explicit density computations for certain sets of primes in Lucas sequencesOn Uniqueness of Mock Theta FunctionsMinimal $a$-numbers of Artin--Schreier covers of ordinary curvesRoot numbers for twisted Fermat quotient curves IIOn the $I(1)$-invariants: Non-abelian Hecke algebra caseOn the singularities of differential equations satisfied by $E$-functionsOn the Hyperbolic Fractional Sum of the Divisor FunctionNon-vanishing of the $p$-adic constant for mock modular forms associated to a newform with real Fourier coefficientsOn sums of two squares and a basis of order $2$p-adic elliptic polylogarithms and cubic ChabautyMellin transforms, transfinite diameter and rational approximations of integralsFractal transference principle for continued fractions of Laurent series

arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-22/Optimal Shifting Method in Dirichlet's divisor problemCharacterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groupsAlgebraic numbers and Fourier analysis: Salem's third problemSums of Hecke eigenvalues along polynomial sequences and base change for $\text{GL}(2)$Classification of Rational Functions of Degree Three over Finite FieldsHandling some Diophantine equation via Euclidean algorithm and its application to purely exponential equationsBeyond the square-root barrier: cubic forms of Perazzo typeQuartic Rational Diophantine Quadruples and the Euler SurfaceDivision algorithms for norm-Euclidean imaginary quadratic fieldsRepresentations of binary quadratic forms by quaternary quadratic formsPseudometrics and preorders on sets of integer sequences induced by arithmetic functions functionsExplicit counting of ideals in number fields of arbitrary degreeGlobal Product Intersection Sets in SemigroupsIndependent Sets and Continued Fractions

arXiv math.NTの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-21/M\"obius disjointness conjecture for Furstenberg's flow on $\mathbb{T}^\omega$ in short intervalsReduction mod $p$ of semi-stable representations of some super-Breuil weightsGeometry-of-numbers methods over global fields II: Coregular representationsOn Regular Higher Power Rational Diophantine TriplesNon-liftability of Families of Abelian Varieties with Small $l$-adic Local SystemThe Limiting Distribution of Elliptic Dedekind SumsSupersingular Drinfeld modules, Brandt matrices, and rank-metric codesThe sum-product phenomenon for dense subsets of finite fieldsOn the normality of the concatenated Fibonacci constantMarkov fractions and Cohn matricesOrderings of Generalized k-Markov NumbersResolutions of spaces of crystalline representations and modularityEffective Joint Sato-Tate Distribution and Sign Change of Symmetric Power CoefficientsA remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modulesExplicit Kodaira-Spencer maps over PEL Shimura varietiesSemistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series FieldsDuality Between Prime Factors and The Prime Number Theorem For Arithmetic Progressions -- Higher Order DualitiesSophie Germain Primes and the Totient of Fibonacci NumbersSolvable Descent and the Grunwald Problem for Solvable GroupsA Rademacher exact type formula for pod$_2(n)$Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$A primality test for $Kp^\ell - 1$ numbersMaximal quadrics over finite fields and minimal codewords of projective Reed-Muller codesImplementing p-adic numbers in Macaulay2 using its foreign function interface and FLINTMarkov numbers of semigroupsElementary symmetric polynomials and a potentially injective family of maps on partitionsForbidden subgraphs in divisor graphs and an Erd\H{o}s divisibility problemSuperspecial generalized Howe curves of genus 4, 5, and 6 with completely decomposable JacobiansUnirational algebraic groups and tame ramificationNear-optimal density theorems for large dilates of large point configurations

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-20/Non-standard Zeckendorf decompositions; or, Tribonacci within FibonacciGaussian Behavior and Geometric Gaps in Decompositions from Recurrences with Zero CoefficientsExtremal densities for forbidden configurations in $S$-smooth numbersBelyi map verification using certified path trackingUniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopesOn the surjectivity of $(T)$-adic Galois Representations of Drinfeld $A$-Modules of Rank 2 and 3: Density resultsOn a question of Astorg and Boc ThalerMatsuki duality for loop groupsSums of two symbols in $K_2(F)/2K_2(F)$ in characteristic twoAdolf Hurwitz and the Fundamental Theorem of Galois Theorie: The K\"onigsberg Lectures of 1890-1891

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-17/The level-8 Apery-limit and a proof of the Ramanujan Machine conjecture Z1Arithmetic functions and learning theoryPrime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number TheoryOn the Number of Prime Factors of Consecutive IntegersComputer vision and converse theoremsAnother factor of integer polynomials with minimal integralsGelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $\mathrm{GL}_2$Counting Theorems for Algebraic RelationsLog-Concavity and Infinite Log-Concavity of Linear Recurrent Sequences with Linear Coefficients via Companion Matrix MethodsRecurrence Time for Finite Quantum SystemsDistinguished Simple Supercuspidal Representations of $p$-adic $\text{GL}(n)$On local integrability results for $p$-adic reductive groupsEvaluations of some series via the WZ methodRational analytic syntomic cohomologyBorel--Bernstein and Hirst-type Theorems for Nearest-Integer Complex Continued Fractions over Euclidean Imaginary Quadratic Fields

arXiv math.NTの新着論文5本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-16/Representation of Ramanujan's tau function by twisted divisor functionsA proof of $p$-adic Gross--Zagier theorem via BDP formulaFourier Dimension in Duffin--Schaeffer ConjectureDistribution modulo one of linear recurrent sequences$p$-adic Linear Regression for Random Sampling with Digitwise Noise

arXiv math.NTの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-15/Simultaneous non-vanishing of Dirichlet L-functionsOn the $K$-extensions between Serre weights for unramified $\mathrm{GL}_3$The $p$-adic monodromy theorem over algebraic-affinoid algebrasMultivariable automatic arrays and transcendenceSolubility for families of norm equations coming from abelian number fieldsApplications of patching the coherent cohomology of modular curvesAn inverse theorem for sumsets of sets of positive density in the integersOn the number of missing integers in partitions

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-14/Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix FieldsA comment on the equation $n!!=a_1!!\cdots a_t!!$A formal proof of the Ramanujan--Nagell theorem in Lean 4Low moments of random multiplicative functions twisted by Fourier coefficients of modular formsThe Number of Solutions to $ax+by+cz=n$ for Fibonacci and Lucas tripletsA note on small theta liftRemarks on Brauer-Manin obstruction for Weil restrictionsOn the Chevalley-Bass number of a fieldConjectural decomposition of symmetric powers of automorphic representations for $\mathrm{GL}(n)$Beatty solutions of almost Golomb equationsRegular ternary sums of generalized polygonal numbersLocal square mean in the hyperbolic circle problem and sums of Sali\'e sumsA Fixed-Prime Criterion for Reciprocals in Missing-Digit SetsBranched covers of $\mathbb{P}^1$ and divisibility in class groupThe solvability of the inverse volcano problem over non-prime finite fieldsAlmost Free Non-Archimedean Banach Spaces and Relation to Large CardinalsCharacter values and conductors of low-rank groups of Lie typeCusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24Geometrization of the Schr\"odinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham SettingAlgorithms on the Pyasetskii involution on local Langlands parameters of classical groupsPro-$p$ Iwahori-Hecke modules in semisimple rank one and singularity categoriesAn analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field

arXiv math.NTの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-13/Galois theory for finite fieldsSeven squares from three numbersDedekind zeta functions of non-Galois torsion fields of elliptic curvesA Dynamical Lifting Problem For Additive PolynomialsValues of algebraic functions at Liouville numbersIdentities and transformations for Lambert series and double Lambert seriesLinear recurrence sequences and palindromic concatenations of two repdigits in base $\beta$Differential operators on locally analytic Shimura varietiesQuartic reductions and elliptic obstructions for perfect Euler bricksBounding the exponential sum on squares of some sifted sequencesModular curves and bad reductionEffective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$A Neukirch-Uchida Theorem for 3-Manifolds

arXiv math.NTの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-10/On Lower Bounds for sums of Fourier Coefficients of Twist-Inequivalent NewformsUniversal sums of generalized polygonal numbers of almost prime lengthProofs for Andrews' Conjectures 5 and 6 on $v_1(q)$A Liouville-Type Inequality for Values of Mahler M-FunctionsResurgence of high-energy string amplitudesLifting banal representations of classical groupsL-modules are mixedOn a descent conjecture of Wittenberg

arXiv math.NTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-09/On a perturbed Hofstadter $Q$-recursionOrder drop, Hecke descent, and a mod $p^4$ supercongruence for symmetric-cube hypergeometric coefficientsThe Domb Ap'ery-limit and a proof of the Ramanujan Machine conjecture Z2On the Double Lambert Series Conjecture of Andrews-Dixit--Schultz-YeeThe Thue-Morse TransformOn canonicity for integral models of Shimura varieties with hyperspecial levelReduced Unitary Whitehead Groups over Function Fields of p-adic CurvesBoundary Cohomology of Sp6(Z): Trivial RepresentationA Hal\'{a}sz-type asymptotic formula for logarithmic means and its consequencesArithmetic intersections on non-split Cartan modular curvesRandom conic bundle surfaces satisfy the Hasse principleExplicit inequalities for the nth lucky numberWeighted averages of arithmetic functions and applications to equidistributionOn the cohomology of negative Tate twists via cyclotomic descentOn a conjecture of Deines$p$-adic Theory for Partial Toric Exponential SumsCongruence modules and Wiles defects of determinantal rings of maximal minorsShort proofs in combinatorics, probability and number theory IITopological Indices of Divisor Prime GraphsA note on complex Lie Algebras isomorphic to their conjugate

arXiv math.NTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-08/Asymptotic distribution of CM points on the reduction of the Drinfeld modular curveOn Elliptic Sequences over Commutative RingsA statistical investigation of a divisor-sum functionMatchable numbersProof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruencesThere are infinitely many Hilbert cubes of dimension 3 in the set of squaresPartial sums of random multiplicative functions with supercritical divisor twistsOn the computation of base-change lifts and lifts of Hida familiesSmall gaps between consecutive zeros of the Riemann zeta-functionOn Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensionsAsymptotic expansions of integrals and Nielsen's polylogarithmsTheta Cycles of Modular Forms Modulo $p^2$Frobenius nonclassicality of generalized Fermat curves with respect to conicsOn the largest strongly connected component of randomly oriented divisor graphsStructural Hierarchy of Reid Class of non-Archimedean Banach SpacesAnalytically generated sharply o-minimal structures

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-07/Series for $1/\pi$ arising from Cauchy productMultiple Gauss sumsOn $u$-Multiple Zeta Values in Positive CharacteristicOn higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamicsArithmetic volume of Shtukas and Langlands dualityRelation between Anderson Generating Functions and Weil PairingExtensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classesJoint extreme values of Dirichlet (L)-functions and their logarithmic derivativesSettled Elements in Arboreal Galois Groups of Quadratic PCF PolynomialsOn special values of Koshliakov zeta functionsA note on Bremner's conjecture and uniformityRank jumps for Jacobians of Hyperelliptic curves on K3 surfacesCohomology of special unitary groups and congruence subgroupsLRC codes over characteristic $2$Problems and results on intersections of product sets and sumsets in semigroupsCryptanalysis of the Legendre Pseudorandom Function over Extension FieldsUnlikely intersections in families of polynomial skew products

arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-06/General formulas for a class of Euler sumsAlmost Golomb SequencesHigher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$On a Conjecture about Sums Involving Farey FractionsMixed character sums modulo prime powersExplicit hypergeometric modularity of certain weight two and four Hecke eigenformsEquivalence between the Functional Equation and Vorono\"{\i}-type summation identities for a class of $L$-FunctionsLarge values of $L(\sigma,\chi)$ for subgroups of charactersPoints of low degree on curves over function fieldsA proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integralFunctoriality and the theta correspondenceA generalization of Bressoud's beautiful bijectionp-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromyAlgebraization of absolute perfectoidization via section ringsLarge sum-free sets in finite vector spaces IIHigher order derivative moments of CUE characteristic polynomials and the Riemann zeta functionOn de Rham--Witt Cohomology of Classifying StacksA motivic Poisson formula for split algebraic tori with an application to motivic height zeta functionsHigh-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy

arXiv math.NTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-03/The relativistic $p$-adic sunscreen conjectureOn Series Involving Cubed Catalan NumbersNon-vanishing for quartic Hecke $L$-functions and ranks of elliptic curvesOn algebraic independence of three p-adic continued fractionsOn finite analogues of Dobi\'{n}ski's formula and of Euler's constant via Gregory polynomialsOverconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functionsTowards the $p$-adic Hodge parameters in semistable representations of $\mathrm{GL}_n(\mathrm{Q}_p)$Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersectionsA digit-sum formula for B\"ottcher coordinatesThe Circle Method for Quadrics over Function FieldsCounting Frobenius extensions over local function fieldsOn congruence conjectures of Andrews and BachraouiWorse than square-root cancellation in Bateman-Horn's conjectureLarge values of exponential sums with multiplicative coefficientsGalois group of exceptional curves on the generic del Pezzo surfaceCuspidal $\ell$-modular representations of ${\rm GL}_n(F)$ distinguished by a Galois involution, IIOn the inverse Galois problem for del Pezzo surfaces of degree 1Intersections and the B\'ezout Range: Abelian Varieties

arXiv math.NTの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-02/Supersingular isogeny graphs and Hecke modules with level structureThe Lang-Trotter conjecture on average for genus-$2$ curves with $S_3$ reduced automorphism groupOne-loop $p$-adic string theory and the N\'eron local height functionSolutions of Calabi-Yau Differential Operators as Truncated p-adic Series and Efficient Computation of Zeta FunctionsSpectral-Dimension Obstructions for Operators with Superlinear Counting LawsHausdorff Dimension of Growth Rate Level Sets in $\theta$-expansionsDynkin diagrams, generalized Nahm sums and 2d CFTsCappell-Shaneson knot pairs with the same Alexander polynomialQuantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces

arXiv math.NTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-01/Truncated Plethystic Exponentials Preserve Power Sum ConstraintsOn Eisenstein series identities and new identities connecting Ramanujan-G\"ollnitz-Gordon continued fraction and Ramanujan's continued fraction of order fourOn non-Archimedean and motivic distributions defined by kernelsCongruences and ramified primes in fields of coefficients of newforms$D(-1)$-triples of triangular numbersAnalytic rank-one elliptic curves over function fields and their rank over certain ring class fieldsFrom Orientations to $\ell$-adic Period VectorsWeber modular curves and modular isogenies$p$-adic Character Neural NetworkABC implies that Ramanujan's tau function misses almost all primesVarious conjectural series identitiesA counterexample to a conjecture of S\'ark\"ozy on sums and products modulo a primeSome geometric series for Euler's constantComposition of random functions and word reconstructionHypergeometric Bernoulli Polynomials Defined on Simplicial $d$-Polytopic NumbersUniform optimal-order Wasserstein quantisationA Finite-State Proof of the Well-Definedness of a Perturbed Hofstadter SequenceReciprocity of Skew Hall-Littlewood-Schubert SeriesNon-Archimedean Analogue of Chase's LemmaShort proofs in combinatorics and number theory

arXiv math.NTの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-31/A categorical p-adic Langlands correspondence for GL_2(Q_p)Tempered vs generic automorphic functions and the canonical filtration on automorphic functionsAsymptotic Universal Koszulity in Galois CohomologyImproved Bounds for 3-ProgressionsA note on the multiple zeta functions and their variants at identical argumentsNP-hardness of SVP in Euclidean SpaceThe congruence subgroup property for $S$-arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet densityMonodromy groups of polynomials of composition length 2Sharp Hausdorff Dimension Bounds for Sets with Bounded and Growing Digits in $N$-expansionsGalois representation of the product of two Drinfeld modules of generic characteristicThe Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$Some vanishing results for the rational completed cohomology of Shimura varietiesOn the locally analytic completed cohomology of modular curvesProducts of consecutive integers with unusual anatomyZeta Zeros in a Narrow Vertical BoxPlectic Heegner classesSpecial geodesics and atypical intersectionsFarey graphs and geodesic expansions of complex continued fractionsComplete Walsh spectra for a permutation-inverse family of Boolean functionsThe conjecture of Colmez and reciprocity laws for modular formsOne continuum class of fractal functions defined in terms of $Q^*_s$-representationNumeral systems with non-zero redundancy and their applications in the theory of locally complex functionsOn the satisfaction frequency of spectral characterization conditionsStructure of the Components of the Fixed Locus of a Self-Map of the Berkovich LineA short proof of Erd\H{o}s's $B+C$ conjectureEnglish translation of Frobenius' and Stickelberger's "On the theory of elliptic functions"Root lattices over totally real fieldsMotivic counting of curves on split quintic del Pezzo surfacesOn Generalizations of Maiorana-McFarland and $\mathcal{PS}_{ap}$ FunctionsZeros in the character table of the symmetric groupOptimal bounds for an Erd\H{o}s problem on matching integers to distinct multiplesWeakly special varieties, Campana stacks, and Remarks on Orbifold Mordell

arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-30/On bilinear sums with modular square roots and applications IIIOn nonconvex constellations among primes IExamples of Quadratic Polynomials over $\mathbb{Q}$ with Surjective Arboreal Galois RepresentationsSurviving Eratosthenes sieve I: quadratic density and Legendre's conjectureOn a M\"obius double sumUniform Diophantine approximation with restrictions via total density of collections of subspacesExactness property of Breuil-Kisin functors and Bloch-Kato Selmer groupsFiniteness of Disjoint Covering Systems with Precisely One Repeated ModulusA further $q$-generalization of the (C.2) and (G.2) supercongruences of Van HammeProof of Hong's conjecture on divisibility among power GCD and power LCM matrices on gcd-closed setsArithmetic sums and products of infinite multiple zeta-star valuesVan der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developmentsResonances on geometrically finite graphsIntegral Means Spectrum for the Random Riemann Zeta Function

arXiv math.NTの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-27/On $\frac{1}{n!}$ in Cantor sets2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta FunctionsOn the Density of Coprime Reductions of Elliptic CurvesIgusa Stacks and the Cohomology of Shimura Varieties IIArithmetic exceptionality of Latt\`{e}s mapsWeak approximations, Diophantine exponents and two-dimensional latticesAnalytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH)Stern polynomials and algebraic independenceThe Prime times of twisted Diophantine approximationSecond order Recurrences, quadratic number fields and cyclic codesComputing the local $2$-component of a non-selfdual automorphic representation of $\mathrm{GL}_3$Poly-Bernoulli numbers from shifted log-sine integralsA note on gamma factors for pairsAn integrality phenomenonMurmurations in the depth aspectA conditional bound for the least prime in an arithmetic progressionIterated beta integralsQuadratic Residue Codes over $\mathbb{Z}_{121}$Linear theories of global fields with absolute valuesLocal coherence for representations of amalgamsExceptional loci in algebraic surfaces

arXiv math.NTの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-26/Period integrals of distinguished polarised strongly tempered hyperspherical varietiesNotes on Cyclotomic Function Fields with Quadratic ModulusOn Selmer complexes, Stark systems and derived $p$-adic heightsThe average number of representations of an integer as a sum of two prime powers over multiples of a fixed integerKobayashi length bounds on bordered surfaces and generalized integral points on abelian varietiesClass number zeta function of imaginary quadratic fieldsOn the Quartic Invariant of Odd Degree Binary FormsAdditive Rigidity for Images of Rational Points on Abelian VarietiesLegendre compressions and an integrality conjecture for the H\"ormander--Bernhardsson extremal functionOn Maximal Values of Gronwall Numbers for Integers with Given Greatest Prime Factor and Remainder in Modified Mertens FormulaOn the paucity of lattice trianglesWeighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varietiesA central limit theorem for connected components of random coverings of manifolds with nilpotent fundamental groups

arXiv math.NTの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-25/Anticyclotomic Iwasawa main conjectures for modular formsDensity of Visible Lattice Points on Hyperplanes and their IntersectionsAdmissible pairs and $p$-adic Hodge structures III: Variation and unlikely intersectionOn the series expansion of k-free Dirichlet series and its analytical continuationMurmurations, Periods, and Local FactorsOn generalized Thabit numbers $(p+1)p^\mathfrak{a}-1$ in the $k$-Lucas sequence$p$-adic multiple zeta values of integer indicesThe second minimum of Barnes-Wall latticesSymmetric measures of pseudorandomness for binary sequencesShort Exponential Sums and Ternary Correlations of Multiplicative FunctionsBranches of Markoff $m$-triples with two $k$-Fibonacci componentsCounting points in thin sets: A surveyBohr's Last Problem Under the Entirety Hypothesis: A Survey with Initial ReductionsUniform boundedness of small points on abelian varieties over function fieldsMahler series with multiplicative coefficient sequencesPartition regularity in imaginary quadratic rings of integersPicard rank jumps for families of K3 surfaces in positive characteristicConstruction of graph coverings with prescribed Iwasawa invariantsCohomological descent for obstructions to local-global principleEulerian polynomials and the alternating sum of excedancesExponential motives on the affine Grassmannian

arXiv math.NTの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-24/Relating Mahler measures and Dirichlet $L$-values: new evidence for Chinburg's conjecturesUpper and lower estimates for integer complexityA refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian varietyGraham conjecture on small sets in abelian groupsTies in function field prime raceAnalytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex ExtensionsAn analytic approach to $P$-adic diffeomorphism group and Teichm\"{u}ller theoryIntegral Representations for Multiple Ap\'ery-Like SeriesEffective count of integer points on ternary affine quadrics and effective equidistributionLarge values of logarithmic derivatives of quadratic Dirichlet $L$-functionsOn mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbersEisenstein-series evaluations for a family of hyperbolic cosine Lambert seriesThe de Rham and the syntomic logarithmThe Littlewood-Richardson rule for Schur $P$-, $Q$-multiple zeta functionsZero-free regions inspired by work of Heath-BrownBeyond Endoscopy for $\mathrm{GL}(3, \mathbb{Q})$: Poisson SummationOn the series expansion of the prime zeta function about $s=1$ and its coefficientsOn the series expansion of the secondary zeta function about $s=1$ and its coefficientsProportion of periodic points in reduction of polynomialsExplicit isomorphisms for a Herr-type complex over a metabelian extensionThe second moment of derivatives of quadratic twists of modular $L$-functions$p$-Ordinary Part of Hyperbolic Cycles on Modular CurvesAlternating geometric progressions modulo one and Sturmian wordsNon-Vanishing of Dirichlet $L$-functions at the central point with restricted root numberA note on polynomial equidistribution and recurrence in finite characteristicMcMullen's Curve, the Weil Locus, and the Hodge Conjecture for Abelian SixfoldsLow degree points on singular plane curvesPeriods of Limiting Mixed Hodge Structures of Projective HypersurfacesThe Erd\H{o}s-Ginzburg-Ziv theorem constant of finite groupsRigidity of Lyapunov exponents for polynomialsOn superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$Neutral representations of finite diagonalizable group schemes and fields of moduliThe exceptional locus of a motivic local systemDouble Recurrence and Almost Sure Convergence: Primes and Weighted TheoryOn corank 4 unitary representations of classical groupsEntropy of affine permutations and universality of affine atomic lengths

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-23/Automorphisms of finite fields from isogeny cyclesFamilies of Congruences for Partitions with $k$-colored odd partsParry order of Parry numbersTorsion Packet Envelope and Rational Points of Algebraic CurvesAsymptotic Formula for $(t+1)$-Regular PartitionsIrreducibility and Monodromy of Automorphic Galois Representations of $\mathrm{GL}(4)$A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number racesA Universal Identity for Powers in Quadratic Algebras and a Matrix Derivation of a Fibonacci IdentityAn Exploration of Crank Generating functions for $t$-core partitionsExistence of minimal del Pezzo surfaces of degree 1 with conic bundles over finite fields

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-20/Bounded Representations by $x^2+y^2-z^2$One one type of ud-preserving mappingWhy Eight Percent of Benford Sequences Never ConvergeNorm-trace and Kloosterman sums in finite semi-simple algebrasClose fields, affine Springer fibers and fundamental lemmasThe triality of the twisted discrete trace formula for PGSO(8)Simplest cubic fields with small class numberMahler's method and Carlitz logarithmThe non-abelian Leopoldt conjecture and equalities of $\mathcal{L}$-invariantsMinimal Weierstrass models and regular models of hyperelliptic curvesMultiplication Tables for Integers with Restricted Prime FactorsOn Rado's single equation theoremState Complexity of Shifts of the Fibonacci WordJoint ergodicity - 40 years on$R$-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence

arXiv math.NTの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-19/Sieving with square conditions and applications to Hilbert cubes in arithmetic setsCounting subalgebras of $\mathfrak{a}$Density results for $r$-gaps between zeros of the Riemann zeta-functionConstruction of a $p$-extension of number fields whose unit group has prescribed Galois module structureOn the size of $\{a: 1\leq aDecidability of singularities in the Ekedahl--Oort stratificationMurmurations, Mestre--Nagao sums, and Convolutional Neural Networks for elliptic curvesLinear truncation for conditioned prime-factor fibresFields with no everywhere good abelian varietiesDiophantine approximation with integers having no large prime factorsParry condition, existence and uniqueness of alternate basesOn rank $2$ hypergeometric motivesThe inverse problem for the Steiner--Wiener index via additive number theory

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-18/Mean field equation and Green's function on the Tate curveOn the central derivatives of l-functions and modularity of heenger cyclesGalois groups of reciprocal polynomials II: Twisted reciprocal polynomialsExplicit and Effective Estimates for the error term in the Generalised Divisor ProblemAnalogue of the theta group $\Gamma_{\theta},$ IISimultaneous visibility in the algebraic latticeInfinite extensions with finitely many CM moduliQuantum ergodicity of Eisenstein series for Bianchi groupsQuantitative bounds on integrality for post-critically finite mapsAn involutive perspective on Eisenstein's proof of quadratic reciprocityFractional parts of powers of negative rationalsEigenforms and graphs of Hecke operators with wild ramificationDyadic Self-Similarity in a Perturbed Hofstadter $Q$-RecursionRelating Arthur packets of real unitary groups and $p$-adic symplectic and orthogonal groupsRealizations of 1-motives over a scheme of characteristic 0

arXiv math.NTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-17/Bogomolov property for modular Galois representations with nontrivial nebentypusDirichlet Series and Asymptotics for Generalized Legendre FactorialsMurmurations of Elliptic Curves over Function FieldsMultiple standard twists of $L$-functionsA note on the invariants of the $L$-functionsParity of parts and excludant statistics in partitionsThe multi-height distribution implies the Batyrev-Manin principleA Totient Function Associated with Variants of GroupsEuler Characteristics of a Family of Congruence Subgroups of $GL_m(\Z)$On some results of Korobov and Larcher and Zaremba's conjectureSeparable integer partition classes and Slater's list -- IElliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$Arithmetical structure of sumset intersectionsCounting Polynomials via Galois Actions on Root SubsetsHilbert cubes in sets with arithmetic propertiesMultiplicities of eigenvalues and quadratic representations of integersParatrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier TransformBounded Additive Relation and Application to Finite Multiple Zeta ValuesPrimitive points on some low degree Fermat curvesInfinite families of APN permutations in constrained trivariate classes over $\mathbb{F}_{2^m}$Variance of GL(2) Fourier coefficients in arithmetic progressionsExplicit formula for multi-indexed poly-Bernoulli numbers$p$-adic $L$-functions for Hecke characters of totally imaginary fieldsLifts of unramified twists and local-global principlesDiversity, equity, and inclusion for problems in additive number theoryOn Jiang's wavefront sets conjecture for representations in local Arthur packetsAn analogue of Rogers' theorem on sieving in commutative ringsNegative $\beta$-transformations: invariant measures, subshifts of finite type and matching propertyTwisted endoscopic character relation for toral supercuspidal L-packets of classical groups

arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-16/Periodic Points of Power Maps in Finite Matrix Groups and AlgebrasHigher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groupsProof of a Conjecture on Overcolored Partition Restricted by Parity of the PartsA geometric proof of Lagrange's theorem for continued fractionsA vanishing theorem for residual Eisenstein cohomologyDerived geometric Satake equivalence on the Beilinson-Drinfeld Grassmannian with one leg in mixed characteristicDisproof of the uniform Littlewood conjectureThe weight two and opposite sign cases for the Fourier relative trace formulasJacobian graphsSizes of Pre-Images of the Minimal Euclidean Function on the Gaussian IntegersA Tate-Type Theorem for Crystalline Classes in the 1-Motivic CategorySharp threshold for universality of cokernels of classical random matrix models over the $p$-adic integers

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-13/On the 3-adic Valuation of a Cubic Binomial SumThe M \"obius Disjointness Conjecture on infinite-dimensional torus$p$-adic Principal Component AnalysisOn the distribution of shapes of totally real multiquadratic number fieldsIntroduction to Dieudonn\'e modules and supersingular abelian varieties revisitedIwasawa Main Conjecture for ordinary semistable elliptic curves over global function fieldsOn the discrete mean square of certain hybrid sum involving $a_{\mathbb{K}}(n)$Badly approximable points on non-linear carpetsOn the $2$-adic valuation of $\sigma_k(n)$The distribution of large values of mixed character sumsCombinatorial designs and the Prouhet--Tarry--Escott problemOn an Overpartition Analogue of $SOME(n)$Primitive-Root Determinant Densities over Prime Fields and Implications for PRIM-LWEExceptional theta correspondences via Plancherel formulas for rank one symmetric spacesConstruction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture

arXiv math.NTの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-12/On the discrete convolution of the Liouville and M\"obius functionsOn the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive SquaresAlgebra Structures of Multiple Eisenstein Series in Positive CharacteristicTranscendence of $p$-adic continued fractions and a quantitative $p$-adic Roth theorem$p$-adic $L$-functions for elliptic curves over global function fieldsToroidal families and averages of $L$-functions, II: cubic momentsHook Length Biases in $t$-Core Partitions

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-11/Divisor Structure of p-1 in Mersenne Prime ExponentsIwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number FieldsFrobenius structure on rigid connections and arithmetic applicationsOn the Green-Tao theorem for sparse setsOn a cyclic structure of generators modulo primesOn autoduality of Drinfeld modules and Drinfeld modular formsMurmurations: a case study in AI-assisted mathematicsThe Flint Hills Series, Mixed Tate Motives, and a Criterion for the Irrationality Measure of $\pi$The unstable complex in Bruhat-Tits buildings for arithmetic groups over function fieldsAntisymmetry of real quadratic singular moduliThe SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structuresThe Hofstadter consecutive-sum sequence omits infinitely many positive integersCycles on splitting models of Shimura varietiesOn the height boundedness of periodic and preperiodic points of dominant rational self-maps on projective varietiesOn the Existence of Algebraic Equiangular Lines

arXiv math.NTの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-10/Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functionsQuadratic Congruences for half-integral weight cusp forms with the eta multiplierRemarks on polynomial count varietiesResolution of the Skolem Problem for $k$-Generalized Lucas Sequences$\{\pm 1\}$-weighted zero-sum constantsOscillatory Interference in Dirichlet L-Functions and the Separation of PrimesA trigonometric approach to an identity by RamanujanOn the de Rham flip-flopping in dual towersSerre conjecture II for pseudo-reductive groupsAn Equivalent form of Twin Prime Conjecture connected with a sequence of arithmetic progressionsA short remark on the $\ell$-torsion part of class groupsOn odd-spin $A_{1}^{(1)}$-string functions, cross-spin identities, and mock theta conjecture-like identitiesDistributions of left prime truncationsNew Ramanujan-type congruences for overpartitions modulo $11$ and $13$The image of the adelic Galois representation of an elliptic curve with complex multiplicationAn archimedean approach to singular moduli on Shimura curvesInformational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number TheoryCongruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$Local theta correspondence and Galois periodsOn one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functionsFinite capture and the closure of roots of restricted polynomialsExtreme value theorem for geodesic flow on the quotient of the theta groupNoncommutative Wilczynski Invariants, and Modular Differential EquationsA Lock-Free, Fully GPU-Resident Architecture for the Verification of Goldbach's ConjectureHeights on toric varieties for singular metrics: Global theoryFiniteness of specializations of the $q$-deformed modular group at roots of unityThe Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruencesTheorem of the heart for Weibel's homotopy $K$-theory

arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-09/The fourth known primitive solution to $a^5 + b^5 + c^5 + d^5 = e^5$Waring-Goldbach problems for one square and higher powersJoint Linnik problemsOn an elementary method for solving $Ax^4-By^2=1$On indefinite integral ternary quadratic formsCohen-Macaulayness of Local Models via Shellability of the Admissible SetOn the spectrum of Diophantine exponents of latticesOn The Hausdorff Dimension Of Two Dimensional Badly Approximable VectorRamanujan Complexes from Unitary Groups over Number FieldsRational Preperiodic Points of Quadratic Rational Maps over $\mathbb{Q}$ with Nonabelian Automorphism GroupsOn the monogenicity and Galois groups of $\boldsymbol{x^{2p}+ax^p+b^p}$On the integer partitions recursive structureUniform sum-product phenomenon for algebraic groups and Bremner's conjectureReductification of parahoric group schemesA Note on Hodge theoretic anabelian geometry

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-06/Restricted set addition in finite abelian groupsBSD Invariants and Murmurations of Elliptic CurvesThe $p$-Dissection of a Product of Quintuple ProductsTransformations and functions that preserve the asymptotic mean of digits in the ternary representation of a numberFrequency of a Digit in the Representation of a Number and the Asymptotic Mean Value of the DigitsA stabilizer interpretation of the (extended) linearized double shuffle Lie algebraAnalysis of the Riemann Zeta Function via Recursive Taylor ExpansionsIwasawa invariants and class number parity of multi-quadratic number fieldsConstruction of higher Chow cycles on cyclic coverings of $\mathbb{P}^1 \times \mathbb{P}^1$, Part IIAndrews--Gordon type identities with parity restrictions through particle motion

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-05/On Permutation Trinomials and Complete Permutation Polynomials via Fiber Criteria over Finite FieldsAsymptotic Mean of Digits of the $Q_s$--representation of the Fractional Part of a Real Number and Related Problems of Fractal Geometry and Fractal AnalysisLinear fractals of the Bezikovitch--Eggleston typeTopological, metric and fractal properties of the set of real numbers with a given asymptotic mean of digits in their $4$--adic representation in the case when the digit frequencies existThree Questions of Erd\H{o}s-Nathanson on Asymptotic Bases of Order 2Semistable intrinsic reduction loci for the iterations of non-archimedean quadratic rational functionsPolarized superspecial abelian varieties over $\mathbb{F}_p$ via hermitian latticesLubin's conjecture for height-one $p$-adic dynamical systems over $(p^2-p)$-tame extensionsExplicit p-adic Hodge theory for elliptic curves and non-split Cartan imagesStrong Approximation for the Character Variety of the Four-Times Punctured SphereA trick to ensure positive Mordell-Weil rankOn the defect in the generalized Grunwald--Wang problemSums of four generalized polygonal numbers of almost prime lengthThe Geometric Unitary Kudla ConjectureOn the maximal run-length function in the L\"uroth expansionSome remarks about q-Narayana polynomials for q=-1Abelian-normal decimal expansions

arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-04/Periodic vanishings of the Legendre-17 signed partition numbersDistribution of square-free palindromesA log prismatic-crystalline comparison theoremOn signs of coefficients of L-functionsOn the Frobenius number for three variablesJoint distribution of leftmost digits in positional notation and Schanuels's conjectureTwisted dynamical zeta funcions and the Fried's conjetureSIP classes and four-parameter partition identitiesGalois Orbit Bounds for Surface DegenerationsGoldbachGPU: An Open Source GPU-Accelerated Framework for Verification of Goldbach's ConjectureA twisted Hecke algebra, then and now, and a Klein bottle of tempered representationsHasse-Witt invariants of Calabi-Yau varietiesMonochromatic sums and quotients in $\mathbb N$Noether-Lefschetz general complete intersection K3 surfaces over the rationals

arXiv math.NTの新着論文37本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-03/The minimal width of universal $p$-adic ReLU neural networksZolotarev's Magical Proof of Quadratic ReciprocityUnconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral WeightsOn log crystalline higher direct imageThe Bombieri--van der Poorten Formula for Partial Quotients of Higher Degree Algebraic IrrationalsA Deterministic Fractal Set Derived from the Sequence of Prime NumbersOn the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro setsAnother proofs of Zagier's formula for multiple zeta values and Murakami's formula for multiple $t$-valuesAlmost prime numbersOn bilinear sums with modular square roots and applications IIEquidistribution in shrinking sets for arithmetic spherical harmonicsThe 2-term DilogarithmAutomatic convergence for holomorphic modular formsInequalities for the number of $t$-hooks in two partition classes arising from sum-product identitiesWeighted averages of $p$-adic hypergeometric functions and traces of Frobenius of elliptic curvesRegulator Constants and CohomologyOn a theorem of Schmidt's subspace theory with moving targetsRelative integral spinor norm groups over dyadic local fieldsThe overconvergence of multivariable $(\varphi_q,\mathcal{O}_K^{\times})$-modules at the perfectoid levelLower bounds for the large deviations and moments of the Riemann zeta function on the critical lineJacob's ladders and the equivalent of the Fermat-Wiles theorem generated by the Hardy-Littlewood formula (1921)Transfer principles and the Kato-Kuzumaki conjectureMass equidistribution for lifts on hyperbolic $4$-manifoldsPartial weight one modularity for Galois representations associated to mod $p$ Hilbert modular formsAn estimate for incomplete mixed character sums and applicationsTorsion cycles on Fermat varietiesA note on the M\"obius uncertainty principle for posetsProofs of some conjectures of Okazaki and Smith on line defect half-indices of ${\rm SU}(N)$ Chern-Simons theoriesModularity of special cycles on Shimura varieties: a surveyCovers of curves, Ceresa cycles, and Unlikely intersectionsNon-Archimedean Tarski-Maligranda InequalitiesA lift of the colored Jones polynomial of a knotOvercolored Partition Restricted by Parity of the PartsA Dynamical Fekete-Szeg\H{o} TheoremBerkovich $2$-motives and normed ring stacksCoexact $1$-form spectral gaps of hyperbolic rational homology spheresHorizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications

arXiv math.NTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-02/Completeness of exponentially increasing sequencesMeta-automatic SequencesDuffin--Schaeffer examples, real residue systems, and Bohr-set primesArithmetic properties of arguments of algebraic numbers on the unit circleCounting number fields using multiple Dirichlet series4-rank distribution of Picard groups of hyperelliptic curves via $C$-symmetric matricesOn quasi-split orthogonal local models of PEL type DProducts of factorials which are products of factorialsA Functorial Refinement of the Franke Filtration and the Jacquet--Langlands Correspondence for Spaces of Automorphic FormsImproved, sublinear projective Schwartz-Zippel and (sub)quadratic dimension growth bounds in arbitrary codimensionPeriods of hyperplane arrangements and multiple polylogarithmsNewton strata realization for hypersurfaces via explicit p-adic cohomologyDiamond Determinants and Somos SequencesOn Weierstrass semigroups of maximal Fermat function fieldsSarnak's Program for Erd\H{o}s Sieves. Part I: Topological Dynamics and Light TailsSarnak's Program for Erd\H{o}s Sieves. Part II: Measure Systems and Applications