Выпуск
モジュラー形式と有限体とゼータ関数 - 2026/9/25の論文39本
プレプリどんどん: math.NT · 25 сентября 2026 г. · 1 ч 23 мин
arXiv math.NTの新着論文39本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-25/ Rank-two Nahm sums, modularity obstructions, and the McKay--Thompson series $T_{31A}$ Noncongruence cusp forms, Veech groups and enumeration Effective logarithmic two-point Chowla bounds in every window Permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields Straight-line programs for the solutions of Pell's equation Computations of Cohomology of Arithmetic Groups, Part 1 On the index of generalized trinomials over Valued fields Computing the cohomology of Shimura curves in quasi-linear time Congruence Classes of Supporting the Erd\"{o}s-Straus Conjecture II: Wild Solutions A new lower bound for the Schur-Siegel-Smyth trace problem Refinements of Peck's theorem on simultaneous approximation to algebraic numbers Counting consecutive multiplicatively dependent triples A geometric proof of Peck's theorem A power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroups Lie algebras for multiple Eisenstein series and multiple q-zeta values The Fermat-Type Matrix Equation over $\mathrm{GL}_2(\mathbb{Z})$ Reducibility of $rx^m+p^e f(x)$ for Large Primes $p$ On murmurations Arithmetic progressions in dense subsets of primitive elements of finite fields Self-intersection Points of Billiard Trajectories in a Square with Small Pockets On the density of $A+B$ when $B$ has few elements On smooth elements in arithmetic semigroups Infinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's Conjecture Identities and congruences involving orthogonal polynomials and Ap\'ery-like numbers A note on isomorphism types of complete discretely valued fields of mixed characteristic Computing the divisor summatory function in $N^{9/28+o(1)}$ Sparsity of rational points on torsion level covers of Hilbert modular varieties Diophantine approximation by primes and Landau--Siegel zeros Lonely Runner Relations The Schur multiplier of $\rm{SL}_2$, $K_2$, and Dedekind zeta-functions over $S$-integers Pro-$\mathbf H_p$ density in the free group of rank two: a Frobenian criterion on the mod-$p$ torus <a href="https://arxiv.