マハラー測度とディリクレL値と整数複雑度 - 2026/3/24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/2026-03-24/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