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素数と楕円曲線とモジュラー形式 - 2026/9/15の論文69本
プレプリどんどん: math.NT · 15 сентября 2026 г. · 1 ч 57 мин
arXiv math.NTの新着論文69本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/ The Strong 24-Conjecture Theta functions after Weil Dynamical uniform boundedness for unicritical polynomials and elliptic curves of large rank Arithmetic Siegel-Weil for the spherical Hecke algebra Galois representations and modularity for twisted moments of Kloosterman sums Pointwise ergodic theorems along sequences of intermediate growth Spherical statistics and phase transitions in high-dimensional lattices Finiteness of an Isogeny Class via Equidistribution Prime and Nonprime Totatives: A Sharp Construction and Exact Thresholds The optimal scale in Linnik's microsquare problem for almost all integers Generalized Wieferich primes and monogenic polynomials Density of Vanishing of Certain Eigenspaces of Cyclotomic Class Groups A Local Proof of Langlands's Second Main Lemma for Local Epsilon Factors over Nonarchimedean Local Fields Modular and Shimura curves $X_0^D(N)$ embedded in $\mathbb P^1 \times \mathbb P^1$ Reduction of integer tiles via CRT and base-p digits Patterns in the Markov numbers and their generalizations Quantitative linear independence for square roots Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences On Decomposition of Drinfeld cusp forms of level $t$ Golden-ratio growth of Conway's subprime closure Two-Height Approximation and Mahler's Problem on Liouville Numbers A Central Limit Theorem for Coprime Pair Counts in Randomly Translated Disks Surjectivity of Finite Rank-Capped Enots-Wolley Sequences The Jensen--P\'{o}lya program and inequalities for arithmetic sequences Cubic AGM graphs and Hessian $3$-isogenies over finite fields $\mathbb{F}_q$ of odd characteristic with $q \equiv 2 \pmod3$ Character sums on an oriented singer conic and explicit Ramanujan double covers An explicit power-saving bound for S\'{a}rk\"{o}zy's Theorem on shifted primes, assuming GRH Bloch cycles and the weak two-variable Chinburg conjecture Dynamical generalizations of Chowla's conjecture on short averages Elimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid Problem Asymptotic Formula for Biregular Overpartitions