L関数とモジュラー形式とp進表現 - 2026/10/20の論文60本

arXiv math.NTの新着論文60本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-20/ Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fields Gaps for PLRS with zero coefficients Dihedral fields with Bloch lattice index five and quadratic subfield Q(i) Recovering Dirichlet coefficients from even samples Diamond Maximal Operators: Classification, Moduli, and Oscillation Envelopes On the Ramanujan-Ligozat modular unit The exact Euclidean window of $\mathbb{Z}[\sqrt{14}]$ Markoff spectra of Hecke groups Pillai's equation between k-generalized Pell numbers and Tribonacci numbers Stevens' Approach to Kloosterman Sums on Split Groups Human Exposition of Claude's 2/3 Theorem on the zeros of zeta Inverse trigonometric and hyperbolic identities,series and products for Lucas sequences On reducible $\ell$-torsion representations of Picard curves Double shuffle and naive duality for multiple Dirichlet series All totally real abelian number fields of class number one are Euclidean Large values of derivatives of quadratic Dirichlet $L$-functions The 3-adic Steinberg block and a categorical 3-adic local Langlands correspondence for $\text{GL}_2(\mathbb{Q}_3)$ Graded Structures of $v$-adic Carlitz Multiple Polylogarithms and $v$-adic Multiple Zeta Values A sharp lower bound for $h$-fold restricted sumsets of integers Covering finite fields by translates of multiplicative subgroups Lucas' Theorem modulo $p^n$ via Harmonic sums $2$-adic Representations of Elliptic Curves over $\mathbb{Q}_2$ Mixed Tate Chabauty--Kim beyond the polylog quotient Distinctness and Algebraic Degrees of Inverted Kloosterman Sums Heights of small CM cycles on Unitary Shimura Varieties The factorial separation conjecture On The Manin Constant Rational Points on Drinfeld Modular Curves of Prime Level Frobenius Profiles of Polynomial-Multiple MRD Codes A Fourier expansion principle for coherent cohomology of powers of Tate curves Asymptotic low slopes of toric exponential sums Orders in the Euclidean Court Half-sized gaps between zeros of the Riemann zet