Wagstaff と Hida と Erdős - 2026/2/25の論文18本

arXiv math.NTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-25/Modularity of a certain "rank-2 attractor" Calabi-Yau threefoldAlgebraic Characterization of Angle Multisections over RingsOn Wagstaff primes in the $k$-Lucas number sequenceSingle conjugacy classes of isometries in orthogonal groups over local fieldsSolutions of polynomial equations in several variables modulo a prime powerOn local characterizations of Hida families of Siegel modular formsA Diophantine inequality with five squares of Piatetski-Shapiro primesOn the Asymptotic Behavior of a Multiplicative Arithmetic Function Related to the Divisor Function Over Perfect Squares Integers Generated by ShiftingPrimes in arithmetic progressions to large moduli and refinements of Harman's sieveRational points on modular curves: parameterization and geometric explanationsDistributions of unramified extensions of global fieldsTorsion points on $\rm{GL}_2$-type abelian varietiesToward the $p$-adic Hodge parameters in the potentially crystalline representations of $\mathrm{GL}_n$Elementary local representation densities at all primes via lifting recursionsPotential Relation Between the Riemann Zeta Function and the Polynomial Function $F$ of the Generalized Erd\H{o}s--Straus Conjecture, Subject to its Analytic ContinuationExistential theories of henselian valued fields under a formal smoothness assumptionQuantum wreath products and $p$-adic general linear groupShifted multiplicative subgroups are not ratio sets