p進空間と指数和とモジュラー形式 - 2026/5/7の論文22本

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-07/A new perspective on the rank of Mazur's Eisenstein Hecke algebraSpecial periods and some non-tempered cases of the Gan-Gross-Prasad conjectureRational orbits under correspondencesThin subbases of Piatetski-Shapiro sequencesFixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powersA Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamplesSmall values of signed harmonic sums and logarithmic means of multiplicative functions$\mathbb{G}_m$-cohomology of $p$-adic Stein spacesStatistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fieldsExponential sums over singular binary quinticsNon-Expansive Matrix Based number SystemsMultiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sumsThe Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz EquationsThe top cohomology of principal congruence subgroups of special linear groups over Euclidean number ringsTheta functions and transformations of bilateral basic hypergeometric seriesAppell function proofs of recent and old mock theta function identitiesOn a polynomial involving quadratic residues modulo primesA Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics$p$-adic Manifold Learning and Benchmark Tasks from Impartial GamesThe McKay correspondence and local heights for wild-by-tame split metacyclic groupsEnergy and Vertex Energy of Modified Divisor Prime GraphsThe Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)