L関数と幾何と整数集合の統計 - 2026/10/9の論文52本

arXiv math.NTの新着論文52本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-09/ The Integer Values of $\sum_{i=1}^{n}\frac{1}{\gcd(n,i)}$ The structure of irreducible cuspidal eta quotients Logarithmic moments of the Rogers Ramanujan continued fraction and odd zeta values Multiplicity Constants for Rough Numbers in Prime Gaps Finite-radius Jensen and relative-entropy formulations of the Balazard--Saias--Yor criterion Simple and accurate approximations to Dirichlet $L$-functions A Generalization of the Riemann Functional Equation with Three Variables Irreducibility of Generalised Laguerre Polynomials for Large Integer Parameters Classification of the Orbits of Three Quadratic Collatz-type Maps Simultaneous non-vanishing of twists of $\mathrm{GL}_3$ and $\mathrm{GL}_1$ $L$-functions Long intervals of consecutive composite values of polynomials Cardinalities of Jordan Diophantine sets of upper triangular integer matrices Non-degeneracy and Fibering with Applications to Diophantine Approximation Equidistribution of number theoretic point sets in the torus and the sphere in Wasserstein metric and $L^2$ discrepancy Splitting fields of complex hyperbolic groups: matrix extraction, Hermitian descent, and spectral fields Additive Sums of Generalized Shifted Ternary Divisor Functions A note on Riemann's $R$-function and almost primes A combinatorial proof of the quadratic Gauss sum Horizontal moments of Kloosterman sums and a density version of sieves Automorphic symbols and automorphic \emph{L}-values of GL(2) over imaginary quadratic fields Statistics of divisor functions over function fields Ray class monoids for orders of number fields Weak and genuine A_n-formality for number fields Invariant Measures on Smooth Algebraic Groups over Higher Local Fields Discorrelation of the M\"obius function with linear phases in short intervals New Hoffman-type generators for alternating multiple zeta values A Unified Framework for $p$-adic Congruences and $p$-adic Interpolations of Sequences $q$-Supercongruences Modulo the Third and Fifth Powers of a Cyclotomic Polynomial $q$-Analogues of some supercongruences related to Van Hamme's (E.2) and (F.2) supercongruences Uniform Height Gaps in Arbitrary Characteristics</a