素数とガロア群と有限体と和集合 - 2026/9/18の論文26本

arXiv math.NTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-18/ Asymptotic counting of integers with prime factors $p_{r^a s^b}$ Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$ A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts A new family of maximal curves not covered by the Hermitian curve Simultaneous nonvanishing of quadratic twists via Rankin-Cohen brackets Finite subgroups of outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields Norms of Schneider--Teitelbaum Polynomials in $p$-adic Fourier Theory Sampling and Moments of Reciprocal Quadratic Mellin Integrals On a question of Ruzsa about densities of sumsets A characterization of Sophie Germain primes - II The Three Gates: A Rooted-Operator Approach to Weil Positivity A problem of Yang and Chen on weighted representation functions Low moments of automorphic random multiplicative function sums Finding New Limit Points of Mahler Measure by Methods of Missing Data Restoration Computational results on sums of a prime with squares or cubes Rogers--Ramanujan identities from the geometry of $X^a=Y^b$ An ergodic approach to equations of the form $x+y=\lfloor\alpha(n)\rfloor$ Sumsets of Ahlfors--David regular sets On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$ A complete classification of permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields Infinite prime sumsets in structured and $U^k(\Phi)$-uniform sets Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II Logarithmic--exponential preparation in sharply o-minimal structures Combinatorics of hyperplane arrangements and Witten zeta function at the origin Morphism spaces on low degree hypersurfaces