有限体とL関数と格子点 - 2026/5/26の論文22本

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-26/On some arithmetic conditions of recurrent sequences modulo prime pOn the Harris-Viehmann conjecture for Hodge-Newton reducible local Shimura data of abelian typeOn the binary digits of the Erd\H{o}s-Borwein constantThe $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functionsCounting Rational Points on Danielewski and Double Danielewski Surfaces over Finite FieldsTribonacci properties of identities, matrices, and determinantsValuation Separation for Coprime Lucas ProductsEquality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical DesignsSimultaneous Periods for Families of Rational Maps Modulo PrimesHilbert-90 quotient maps, torsion defects, and symmetric monodromyLubin-Tate representations over nontrivial finite Galois extensions of $\mathbb{Q}_{p}$ are not Aut-intrinsically Hodge-TateVariational estimate for the family of discrete averages associated to simplicesThe Frobenius problem for shifted square sequences starting with a multiple of 4A Note on Abelian Monogenic TrinomialsIncidence Obstructions for Power Products in Elliptic Divisibility SequencesBanded quadratic digit functions along irreducible polynomials over finite fieldsA proof of the $4,7$ cases of Sylvester's conjecture on cube sumsBoundary CM points and class groups of small exponentOrbit decomposition statistics for discrete dynamical systems: the Ces\`aro mean and a large deviation principleOn the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$The $\Delta$ property: a bridge between split graphs and Number TheoryLattice point counting problems on step-two nilpotent Lie groups