L関数と$p$進構造と幾何学的解析 - 2026/10/28の論文41本

arXiv math.NTの新着論文41本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-28/ Counting Markov triples and simple geodesics Uniform local models of quasi-unipotent $p$-adic differential equations Hankel determinants for the $(n+2)$-shifted $q$-metallic numbers Computations in weight 3 of higher Bloch groups Infinite families and sporadic solutions of the equation $\varphi(n)=c+\alpha\sum_{p\mid n}\varphi(p)$ Retriangular numbers and affine maps between polygonal numbers Pointwise to global good reduction problems Gross--Prasad conjecture in geometric Langlands Metric Diophantine approximation with primes on irrational lines Exact Generic Exponents of Approximation for the Action of the Integral Special Linear Group on the Torus Moment representations for generalized Lehmer polynomials Effective Chebotarev-Sato-Tate distribution for Abelian varieties with applications Archimedean zeta integrals on $ {\rm SO}_{2n} \times {\rm GL}_n$ and $ {\rm Sp}_{2n} \times {\rm GL}_n $ Resolvent Components of Completely Normal Elements and the Morgan-Mullen Conjecture Square-root logarithmic bounds for the arithmetic complexity of factorial multiples On the interpolation property of Kupferer's Lubin-Tate regulator maps Arithmetic Poisson summation formulas On extended interpolation properties of the Katz $p$-adic $L$-function Finite Fields: Root Sets, Frobenius, and Algebraic Structure Density and Defect Distribution of Reduced Ideals Missed by the Reduction Algorithm in Real Quadratic Fields Large values of Hardy's Function from the Selberg class Near-quadratic sum-product estimates in fixed number fields Factorization of Elliptic Divisibility Sequences via Modular Curves Explicit Serre weights for modular Galois representations of $U(2)$ Universality Criterion Sets for Definite Quadratic Lattices over Polynomial Rings On $p$-Adic Valuation Trees Arising from Laplace Transform of Fibonacci Polynomials A zero-density estimate for the symmetric square $L$-functions in the weight aspect Class numbers and finiteness of norm Euclidean quadratic lattices over algebraic number fields Spectral $L^2$-bounds on Eisenstein series and Diophantine properties of quadratic forms Rank functions, $\mathbb{Z}_p$-extensions and