魔法分割関数とオーバーパーティション - 2026/3/10の論文28本

arXiv math.NTの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-10/Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functionsQuadratic Congruences for half-integral weight cusp forms with the eta multiplierRemarks on polynomial count varietiesResolution of the Skolem Problem for $k$-Generalized Lucas Sequences$\{\pm 1\}$-weighted zero-sum constantsOscillatory Interference in Dirichlet L-Functions and the Separation of PrimesA trigonometric approach to an identity by RamanujanOn the de Rham flip-flopping in dual towersSerre conjecture II for pseudo-reductive groupsAn Equivalent form of Twin Prime Conjecture connected with a sequence of arithmetic progressionsA short remark on the $\ell$-torsion part of class groupsOn odd-spin $A_{1}^{(1)}$-string functions, cross-spin identities, and mock theta conjecture-like identitiesDistributions of left prime truncationsNew Ramanujan-type congruences for overpartitions modulo $11$ and $13$The image of the adelic Galois representation of an elliptic curve with complex multiplicationAn archimedean approach to singular moduli on Shimura curvesInformational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number TheoryCongruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$Local theta correspondence and Galois periodsOn one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functionsFinite capture and the closure of roots of restricted polynomialsExtreme value theorem for geodesic flow on the quotient of the theta groupNoncommutative Wilczynski Invariants, and Modular Differential EquationsA Lock-Free, Fully GPU-Resident Architecture for the Verification of Goldbach's ConjectureHeights on toric varieties for singular metrics: Global theoryFiniteness of specializations of the $q$-deformed modular group at roots of unityThe Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruencesTheorem of the heart for Weibel's homotopy $K$-theory