素数とガロア群とディオファントス方程式 - 2026/5/22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/2026-05-22/On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number FieldPort Fillings for Primary Pseudoperfect NumbersA generalization of the Erd\H{o}s-Sierpi\'nski conjectureA Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's HistoryEscaping Chaos in Random Multiplicative FunctionsRational dynamics of a prime-representing mapThe reverse Goldbach problem and a refined Zsiflaw--Legeis theoremCoset-refined trace statistics, nodal characters, and affine branches in cubic norm toriA Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile ParameterOn the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensionsThe distribution of semi-integral points on a class of singular cubic hypersurfacesA quick distributional way to reproduce some results of the Riemann zeta functionA Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence ConditionArboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical PointsRethinking the work of Langlands on Eisenstein seriesLines in the prime number graphBell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial SequencesBases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$From Hilbert's Tenth Problem to Quantum Speedup: Explicit Oracles for Bounded Diophantine SystemsGraphs from quadratic forms and vector spaces over finite fieldsClosed geodesics in short intervals for random hyperbolic surfaces