曲線と数論的構造と解析的ツール - 2026/10/5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/2026-10-05/ Arithmetic growth in partially commutative semigroups of endomorphisms The proportion of polynomials over F_2 with positive orthogonal multiplicity Shimura Reciprocity for Real Quadratic Fields Counterexamples for Rational Points Near Curves The Prime Wavelet Tree: Compressing the Carmichael Numbers Extreme values of Dirichlet $L$-functions on the critical line with a growing prime modulus A uniform degree bound for modular rank-two Nahm sums The Wang--Sun Sum over Affine Derangements A new upper bound for the irrationality exponent of $\zeta(2)$ some arithmetical aspects of the two dimensional jacobian conjecture Telescopic Structure of Numerical Semigroups Generated by Unsigned Stirling Numbers of the First Kind Cohomology of Linearly Constrained Kloosterman Families: Newton Polytopes, Weights, and Boundary Monodromy Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves Split-Cubic Curves from D(n)-Triples: A Bounded Finite-Field Census Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves The quality plane of $abc$-triples and the decomposition into gains Gosper's and Ramanujan's infinite products and generalizations A cubic Chabauty criterion for hyperelliptic curves Eisenstein congruences in tame families and the class group of a metabelian extension Sum-product patterns in the shifted primes Hausdorff dimension for exactly approximable matrices Explicit second moments of symplectic Siegel transforms Quantitative Gowers uniformity of the primes in intervals of length $X^{5/8+\varepsilon}$ Exact diameter compression for four-point sumset cardinalities Pappas's conjecture on ramified unitary local models Resolving Erd\H{o}s-Ulam Monochromatic Union-Closed Family Conjectures Sharp rational points counting near nondegenerate curves in $\mathbb{R}^n$ Sturmian beta-shifts do not have typical periodic optimization