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-functionsDivisor Sums with Spacing ConstraintsQuantitative nodal domain count for Maass formsOn Parameterization of Some Problems in Number TheoryElliptic curve rank growth in multi-quadratic extensionsTrivial Iwasawa modules and arithmetic linking numbersAn explicit bound on $|\zeta_K(1+it)|$A Sharp Upper Bound for the Frobenius NumberValue-distribution of Euler--Zagier type multiple zeta-functions with identical arguments on the critical linePrime Numbers of the Form $24m+1$ and Erd\"{o}s-Straus ConjectureShintani Cocycle Decomposition of Topological Polylogarithms for Totally Real FieldsBinary Quadratic Forms, Shintani Lifts, and Twisted L-ValuesThe limiting zero counting measure for Eisenstein seriesHausdorff dimension of canonical height spectraThe Hardy--Littlewood asymptotic for primes $p$ and $p+4$ from a uniform zeta-ratios conjectureA genus-two spectral curve of the Riemann $\Xi$-function: Real Structure and Certified Arithmetic Separation of PeriodsSpectral convergence associated with Weil's quadratic formTraces of Green's functions on $\mathbb{H}^q$ over point-hypersurface pairsRational Points on Affine Varieties over Finite Fields and Polygonal Number SequencesPower Sum Varieties over Finite FieldsPartial rigidity and q-additive functionsDeterministic Root-Finding over Finite Fields with Elliptic Curves