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方程式と素数と集合の構造 - 2026/10/2の論文35本
プレプリどんどん: math.NT · 2 октября 2026 г. · 1 ч 11 мин
arXiv math.NTの新着論文35本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-02/ Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic PageRank on Lubotzky--Phillips--Sarnak graphs Some Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k) An explicit family of twists of the Carlitz module with unbounded analytic rank New bounds for the integer Chebyshev constant of [0,1] On a problem on Ramanujan-Sato series of level 11 Perfect squares in reciprocal-sum sequences and primes that are inert in quadratic fields Congruence Jumping in Polynomial Divisibility Systems: Arithmetic Structure and Solution Sets Multiplicative recurrence of Piatetski--Shapiro and nil-Bohr sets Transcendence of dendric beta-expansions with pure discrete spectrum Powers in orbits and semigroups generated by polynomials Construction of parametrized families of general pseudo-bimagic and bimagic squares Baire-category transfer between Engel and Pierce expansions Indefinite theta vectors and generalized Nahm sums of arbitrary rank The sixth moment of the Riemann zeta function Translation invariant quadratic forms in $8$ variables and dense sets of primes Sharp $p$-adic Extrema and Least Extremal Rows for Restricted Binomial GCDs A Prime-Power Dichotomy for Nekrasov--Okounkov Hook Lengths and $t$-Core Partitions Tridimensional character sums with polynomial arguments and applications Uniform estimate of Lang-Weil type for counting points of schemes over finite rings Quadratic distances in even dimensions over prime fields Averages of Artin characters and their relation to the Davenport--Heilbronn theorem Square products of factorials and a conjecture of Erd\H{o}s and Graham Supersingularity and Superspeciality Verification of Abelian Surfaces Infinite free pro-p products as absolute Galois groups On the prime geodesic theorem On The Index of Polynomial Compositions over Valued Fields Direct Group Laws on Classical Genus-One Models Markov chains arising in the study of random matrices over pro-finite rings Transcending Algebraic Geometry Mock Modularity, Resurgence, and Dual False Theta Functions <a href="https://arxiv.org/abs/2610.00599