合同式と楕円曲線とガロア群とゼータ値 - 2026/9/28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/2026-09-28/ A Congruence Conjecture of Z.-W. Sun for Reciprocal Central Binomial Sums Supercharacter theory and applications to Ramanujan sums over a finite Frobenius ring On the Langlands--Kottwitz--Scholze method Congruence obstructions in the refined Koblitz conjecture Local Weak Maass Forms and Traces of Cycle Integrals Pinch's conjecture on $a$-convexity Mishiba's Conjecture on the Coaction of $\infty$-adic Multiple Zeta Values Counterexamples to the inhomogeneous Duffin-Schaeffer conjecture for a residual set of shifts Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions Counterexamples to the inhomogeneous Duffin-Schaeffer Conjecture On the Moments of Least $r$-Gaps of Partitions and a Conjecture of Baruah and Talukdar The derivative function of the zeta-star correspondence Experiments on $3$-isogeny Selmer groups of elliptic curves with a $3$-torsion point A parametric Catalan-type congruence for generalized central trinomial coefficients Irreducible rootless unimodular lattices generated by vectors of norm $3$ Ternary Perfect Forms Over Imaginary Quadratic Field Further Results on Sum-Freedom of Binary and $q$-ary Functions On Conjectures of $\mu$-Invariant for Selmer Groups at $p=2$ Computing the Iwasawa $\mu$-Invariants for Elliptic Curves over $\mathbb{Z}_2$-Extensions On the infinite sum of reciprocals of the fourth powers of balancing numbers Free semigroups of power series Galois groups of integer polynomials with prescribed coefficients Formal groups and $(\varphi,\Gamma)$-modules Galois groups of twisted reciprocal polynomials: a uniform asymptotic The geometry of solutions to the general sextic Cartier--Dieudonn\'e Theory of Connected Group Schemes Comment on "Symmetric Pseudo-Random Matrices" A Mathematical Theory of Near-Field Super-Resolution