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整数方程式と楕円曲線と分割 - 2026/11/4の論文24本
プレプリどんどん: math.NT · 4 ноября 2026 г. · 42 мин
arXiv math.NTの新着論文24本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-04/ A generalization of the Dirichlet approximation theorem for affine actions on the real line Classification of torsion of elliptic curves over sextic fields Some instances of modularity for residually reducible representations in the mixed case Ramanujan-type congruences for the smallest parts function Rational points on loxodromic K3 surfaces and complex dynamics On integers $n$ relatively prime to $\lfloor \alpha n^2\rfloor$ The smallest-parts function and elliptic curves Finding Integer Roots of Polynomials in Nearly Optimal Time Counting irreducible skew polynomials $x^{2n}+ax^n+1$ Inverse powers and 2-adic properties of binary 3 x 3 matrices associated with the Tribonacci sequence Asymptotics for partitions over the Fibonacci numbers and related sequences, II On the Diophantine equation $Cx^2+p_1^{2m_1}p_2^{2m_2}\cdots p_k^{2m_k}=y^q$ Almost primes in short intervals and averages of long Dirichlet polynomial approximations to $(\zeta'/\zeta)^{k}$ On partitions with bounded multiplicity restrictions on even parts and with the largest part being odd Divisibility Properties of Odd Part and Even Part Sums in Cubic Partitions On the van der Corput property for cubes Summing over Seifert Manifolds in Narain Ensemble Averages On the Irreducibility of Locally Analytic Vectors in Certain Banach Representations of $D^\times$ Good slopes, congruence preservation, and gaps over residue rings Polynomial configurations and pointwise averages along Piatetski--Shapiro primes Additive energy, Freiman's lemma, and an edge-isoperimetric problem on the boolean cube Relative Tate-Shafarevich kernel of a reductive group over a global field Hecke Relations from Self-Duality On the $abc$ conjecture