ゼータ関数とL関数と保型形式 - 2026/9/24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/2026-09-24/ A new upper bound for the irrationality exponent of zeta(3) The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proof Galois-Orbit Structure, Ramanujan Sums, and Stable-Range Collapse for Cyclotomic Cosine Formulas $A_2$-frames, negacyclic glue, and extremal strongly $6$-modular lattices The number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular variety Definability and undecidability via the torsion subgroup of units Completed cohomology of Hilbert modular varieties below middle degree Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups A proof of the Baruah--Gogoi conjecture on sums of odd and even overlined parts Infinite families of pairs of real quadratic fields whose class numbers are divisible by a given integer Definite integral Albert algebras: arithmetic and finite geometry Modular integrals for individual modular knots Construction of vector-valued adelic automorphic forms Zero density estimates for $\mathrm{GL}_2$ automorphic $L$-functions Gevrey localization for simple and distinct zeros in a prime-modulus Dirichlet family An Approximate Version of Vu's Theorem on Economical Subbases For Non-Integer Exponents Shifted log-sine integrals and multiple zeta values Morse Topology, Zero Products, and Elliptic Prime Crossings On some $D(u^2)$-triples and quadruples of triangular numbers Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area The Arithmetic of Reducible Rank 2 Hypergeometric Motives An Introduction to the Lagrange and Markov Spectra through the Lens of Generalized Markov Numbers Weighted bilinear identities and supercongruences for Ap\'ery-like polynomials On the hyperbolic prime number theorem Distinguishing Gauss sums A tyro's approach to the tilted sieve: beyond the Erd\H{o}s--Rankin bound Counting $k$-tuples of positive integers such that the values of several polynomials of $k$ variables are relatively prime Rankin-Cohen Pairings and Hilbert Hecke Eigenform Product Identities On the monomials of Poincar\'e Series of negative index Trivial zeros of zeta functions