L関数とコードと割った集合 - 2026/10/21の論文35本

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-21/ Galois Groups of Shifted Exponential Polynomials Class polynomial obstructions to canonical congruences for the smallest parts function Small sums of roots of unity: polylogarithmic exceptional sets and conditional separation Upper Bounds on the de Bruijn-Newman constant for Dirichlet $L$-functions with primitive real-valued characters The Projective Reed-Muller Code from Quartic Curves in the Projective Plane Quantum Variance for Hecke--Maass Cusp Forms on the Vertical Geodesic Bowen--Franks groups and minus class groups of imaginary abelian fields Non-vanishing of central values of angular Hecke $L$-functions On a Notion of Density Related to Restricted Diophantine Approximation An Equivariant Main Conjecture for Branched $\mathbb Z_p$-Towers of Finite Graphs and Applications Small values of the Riemann zeta-function near the critical line A determinant formula for multiple harmonic sums and their linear independence Dense Sets with Prescribed Difference Representation Functions New Directions in Irrationality Weyl Bounds for $\operatorname{GL}_2\times \operatorname{GL}_2$ Rankin--Selberg $L$-functions via Short Spectral Moments Primes in short intervals assuming the Riemann hypothesis Post-quantum commutative group actions from oriented superspecial abelian varieties Theta Relations SEAC from EAC modulo Schanuel: reduction to algebraic exponentials Uncountably many settled elements are never Frobenius elements On the average of class numbers of indefinite binary quadratic forms Irrationality exponents of logarithmic numbers: Values, quotients, and graded approximation Simultaneous visibility in cut-and-project sets Euler systems for self-dual Hecke characters over biquadratic fields with applications Simultaneous popular differences for polynomial and linear progressions in finite fields A necessary condition for a Romanoff type theorem A Joint Local Limit Theorem for Prime Divisor Counting Functions Unconditional Subexponential Arithmetic Circuits\ for Positive Factorial Multiples Small and large gaps between zeros of Dirichlet $L$-functions Borel's computation of the ranks of $K$-theory revisited <a h