シンタニと二次形式と有限体上の算術 - 2026/10/26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/2026-10-26/ Biases in gaps between zeros of Dirichlet L-functions Divisor Sums with Spacing Constraints Quantitative nodal domain count for Maass forms On Parameterization of Some Problems in Number Theory Elliptic curve rank growth in multi-quadratic extensions Trivial Iwasawa modules and arithmetic linking numbers An explicit bound on $|\zeta_K(1+it)|$ A Sharp Upper Bound for the Frobenius Number Value-distribution of Euler--Zagier type multiple zeta-functions with identical arguments on the critical line Prime Numbers of the Form $24m+1$ and Erd\"{o}s-Straus Conjecture Shintani Cocycle Decomposition of Topological Polylogarithms for Totally Real Fields Binary Quadratic Forms, Shintani Lifts, and Twisted L-Values The limiting zero counting measure for Eisenstein series Hausdorff dimension of canonical height spectra The Hardy--Littlewood asymptotic for primes $p$ and $p+4$ from a uniform zeta-ratios conjecture A genus-two spectral curve of the Riemann $\Xi$-function: Real Structure and Certified Arithmetic Separation of Periods Spectral convergence associated with Weil's quadratic form Traces of Green's functions on $\mathbb{H}^q$ over point-hypersurface pairs Rational Points on Affine Varieties over Finite Fields and Polygonal Number Sequences Power Sum Varieties over Finite Fields Partial rigidity and q-additive functions Deterministic Root-Finding over Finite Fields with Elliptic Curves