ゼータ関数とドリンフェルト加群と素数 - 2026/6/5の論文19本

arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-05/Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"Theorem $(1+1.9)$ on the Goldbach ConjectureThe Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?Hasse-Weil Zeta Functions Modulo a PrimeOn explicit Fourier expansions of theta lifts to ${\rm SO}(3,n+1)$ arising from elliptic newforms of level oneExotic and inverted Kloosterman sums over semisimple algebrasDrinfeld modules in rank 2 with CM and S-unit j-invariantsArithmetic Wu Formulas and the Generalized Hecke TheoremRecent Progress around Cohen-Lenstra HeuristicsAn Elementary Analysis of the Prime Partition FunctionA Generalization of the Amdeberhan-Andrews-Ballantine ConjectureOn a conjecture on Romanoff type sumsetsNo three algebraic conjugates of degree sixteen sum to zeroArithmetic statistics of isogeny Selmer groups associated to hyperelliptic curvesArithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-ModulesHiggs bundles on the Fargues-Fontaine curveTwo notes on valued fieldsDecomposition Theorem for Perfectoid Rings along General IdealsStability of the smooth Casselman-Jacquet functor