ディオファントス方程式とL関数と格子点 - 2026/4/28の論文29本

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