L関数と楕円曲線と数体と素数 - 2026/9/16の論文38本

arXiv math.NTの新着論文38本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/ The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis Mean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds A formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$ Number fields as curves over $\mathbf{F}_1$ Simultaneously small continued fraction entropy and base $b$ entropy Elementary proofs of congruences modulo 5 for overpartitions with restricted odd differences Rational Points near Monofractal Curves and the Strong Oscillation Principle Local Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrization Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization Twisted Rational Zeros and Local-Global Principles for Linear Recurrence Sequences Higher Schwarzians of Elliptic Double Covers and Eisenstein--Kronecker Functions The Furstenberg-S\'ark\"ozy theorem for sums of an even number of odd powers An infinite family of imaginary biquadratic fields with a large class number Laurent series expansions for the Barnes multiple zeta function Triple divisor type functions in arithmetic progressions to prime power moduli Iwasawa theory of (directe) Cayley graphs The Local Ghost Theorem in the Tr\`es Ramifi\'e Case Distribution of squarefree integers with double congruence conditions Prime-power congruences for level-one eigenforms Extreme values of quadratic Hecke $L$-functions On $t$-sumfree sequences Mixed moment of $GL(2)$ and $GL(3)$ $L$-functions in the level aspect An additive problem in connection with some quadratic real fields with class number one Powers of the Thue--Morse Series: 2-Adic Valuations and Automatic Odd Parts Refined conjectures on Fitting ideals of BDP Selmer groups Modular functoriality for finite groups Uniform Mordell-Lang conjecture for semiabelian varieties A class formula for effective Anderson motives On Sarnak--Str\"{o}mbergsson conjecture Improved bounds for Szpiro's conjecture Even-degree Hermitian Ikeda lifts via Fourier-Jacobi descent Hypothet