格子と楕円曲線とp進体とガロア群 - 2026/6/2の論文36本

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/2026-06-02/Perfect powers in the product of denominators of elliptic curvesOn $\mathbb{Z}_2$-extensions of real quadratic fieldsPrescribed realisation of longest runs in continued fractionsPolylogarithmic Analogues of Euler's ConstantOn the $P(t)$-adic Littlewood conjecture in odd characteristicsLocating a shortest vector in certain $2$-dimensional latticesOn indecomposable elements in latticesThe categorical local Langlands conjectureA further study of polynomial $g_{n,q}$ over finite fieldsTopological and Diophantine properties of lattice subset projectionsTame Galois Groups, Linking Numbers and MildnessPiatetski-Shapiro Primes in short intervalsAdditive Rigidity for Images of Rational Points on Abelian Varieties II: The General CaseA Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$Sums of Apostol's M\"{o}bius functions of order $k$Distinguished defining polynomials for extensions of p-adic fieldsGeometrization of summation formulae for quadricsHigh moments of random multiplicative functions twisted by Fourier coefficients of modular formsIntrinsic Subgroups and the $\ell$-adic Galois imageOn a problem on a generalization of Euler's totient functionOn cyclotomic matrices related to Kloosterman sums over finite fieldsInfinite Moments of Class Groups for Solvable Fields with a Normal Abelian SubgroupApplications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sumsUniversality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columnsOn the unit equation $\varepsilon+\delta=n$ in cubic fieldsOn periods of Elliptic curvesArithmetic regularity as an alternative to transferenceCyclotomic factors of rational necklace functionsAnalogues of the Lindel\"of Hypothesis for the Barnes multiple zeta function and related problemsFinding the complement of an elliptic curve inside a JacobianThe Primes are $2$-AccessibleInfinitely many holes in connectedness loci for collinear affine iterated function systemsNon-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic InequalityHitting Arithmetic Progressions at the Square-Root ScaleThe 1/2-Conjecture for $q$-Binomial Coefficients with Fractional IndexThree-color van der Waerden numbers grow super-exponentially