ゼータ関数と素数とガロア群と楕円曲線 - 2026/9/22の論文62本

arXiv math.NTの新着論文62本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-22/ Superpolynomially Large Support in Every Irreducible Factor of Lacunary Polynomials Iwasawa theory of class field towers A quadratic-residue dichotomy for two partition functions modulo 3 On periods of the Tribonacci sequence modulo primes Monogenic Fields of Cryptographic Size Bad Reduction of Genus Two Curves with complex multiplication Almost Trivial Units in Group Rings Zero density theorems for short intervals Maximal Unramified $p$-Extensions with Prescribed Galois Groups: A Quantitative Refinement of Ozaki's Theorem On a Tur\'an's theorem for small primes On a Tur\'an's theorem for arithmetic progressions Romanoff type theorems for polynomials over finite fields Steinness of the Basic $\mathrm{GL}_n$ Local Shimura Tower in Odd Rank On $\mathbb{Z}_2$-extensions of real quadratic fields with class group of $2$-rank three Counting number fields with symplectic Galois group The variance of the number of lattice points in narrow sectors Explicit bounds for the prime number theorem Wave Numbers: Discrete Sequence Algebras, Sieve Projectors, and Dynamical Geometry $v$-adic Chowla-Selberg formula over function fields Critical Pairs for Mixed Restricted Sumsets in Prime Fields A two-step supercongruence for an Ap\'ery-like sequence Large values of quadratic Hecke $L$-functions with prime-related moduli of the Gaussian field Lower-order terms in mean-square formulas for the Euler--Zagier double zeta-function and regularized multiple zeta values Higher Reciprocity, Cassels Pairings, and Selmer Towers for the 3/5 Congruent Number Problem Refined sum formulas for finite multiple zeta values of level two Two Legendre-symbol determinants of Sun and Bernoulli numbers Concave transforms and volumes of adelic line bundles Selmer groups of CM-twists of elliptic curves Interpolation determinants and the Lebesgue--Nagell equation $a^2-D=b^p$ On the noninjectivity of Jordan's totient functions Detecting split surfaces, RM surfaces, and minimum walks on isogeny graphs Non-Archimedean Poincar\'e series and geodesics on the Bru