ガロア表現と有限体とマルコフ数 - 2026/4/21の論文30本

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