πとガウス和とL関数とShtukas - 2026/4/7の論文17本

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