プレプリどんどん: math.NT
素数と楕円曲線とモジュラー形式 - 2026/9/15の論文69本
arXiv math.NTの新着論文69本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/ The Strong 24-Conjecture Theta functions after Weil Dynamical uniform boundedness for unicritical polynomials and elliptic curves of large rank Arithmetic Siegel-Weil for the spherical Hecke algebra Galois representations and modularity for twisted moments of Kloosterman sums Pointwise ergodic theorems along sequences of intermediate growth Spherical statistics and phase transitions in high-dimensional lattices Finiteness of an Isogeny Class via Equidistribution Prime and Nonprime Totatives: A Sharp Construction and Exact Thresholds The optimal scale in Linnik's microsquare problem for almost all integers Generalized Wieferich primes and monogenic polynomials Density of Vanishing of Certain Eigenspaces of Cyclotomic Class Groups A Local Proof of Langlands's Second Main Lemma for Local Epsilon Factors over Nonarchimedean Local Fields Modular and Shimura curves $X_0^D(N)$ embedded in $\mathbb P^1 \times \mathbb P^1$ Reduction of integer tiles via CRT and base-p digits Patterns in the Markov numbers and their generalizations Quantitative linear independence for square roots Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences On Decomposition of Drinfeld cusp forms of level $t$ Golden-ratio growth of Conway's subprime closure Two-Height Approximation and Mahler's Problem on Liouville Numbers A Central Limit Theorem for Coprime Pair Counts in Randomly Translated Disks Surjectivity of Finite Rank-Capped Enots-Wolley Sequences The Jensen--P\'{o}lya program and inequalities for arithmetic sequences Cubic AGM graphs and Hessian $3$-isogenies over finite fields $\mathbb{F}_q$ of odd characteristic with $q \equiv 2 \pmod3$ Character sums on an oriented singer conic and explicit Ramanujan double covers An explicit power-saving bound for S\'{a}rk\"{o}zy's Theorem on shifted primes, assuming GRH Bloch cycles and the weak two-variable Chinburg conjecture Dynamical generalizations of Chowla's conjecture on short averages Elimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid Problem Asymptotic Formula for Biregular Overpartitions Critical Restricted Sumsets at the Boundary $\lvert A\rvert+\lvert B\rvert=p$ Prime Plus a Non-Square-Free Integer: An Elementary Approach Transcendence of Montgomery Reduction Factor in the Ring of Integers Modulo Infinitely Large Primes A proof of Sylvester's conjecture The typical size of Hecke eigenvalue sums is $o(\sqrt{x})$ Two-term dilogarithms, mixed-base Nahm sums, and Fricke symmetry Ekedahl-Oort strata meeting the supersingular locus Laurent coefficients of Zagier-type zeta function {\`a} la Ishibashi and arithmetic aspects of extended Ramanujan period function The Dynamical Mordell--Lang Conjecture for Relatively \'{E}tale Systems over Products of Curves On the largest prime factors less than $y$ of consecutive shifted primes Algorithms for $p$-rationality and for $p$-saturation of units Algebraic independence of the exponential and Weierstrass $\wp$-functions On the arithmetic of Tate-Shafarevich groups via Kolyvagin's conjecture Optimising Selberg's method for critical zeros On the number of solutions to $S$-unit equations Hecke structure of quaternionic modular forms mod $p$ Periodicity and Period-Length Bounds for Browkin $p$-Adic Continued Fractions An extension of algebraic independence of special values for non-lacunary power series Long runs of integers with small prime factors and the divisor function of $n!$ A Construction of an Extremal Even Unimodular Lattice of Rank $88$ Singular automorphic products and BKM algebras A septic covariant and the Hermite--Joubert problem in degree seven Another proof of the $U^4(\mathbf{F}_p^n)$-inverse theorem Cauchy laws for zeta logarithmic derivatives and stationary Stieltjes transforms Low moments of Hecke eigenvalue sums A lattice family with kissing constant $\tau(\mathcal{L}_n) \ge e^{\sqrt{n}}$ Zeros in The Character Table of The Wreath Product of The Symmetric Group Matrices over non-commutative rings as sums of fifth and seventh powers Subset-Sum Density Realization in Locally Finite Abelian Groups Torsion, Betti rank, and small points in semiabelian schemes Thresholds and Fluctuations for Colorful Arithmetic Progressions in Sparse Random Colorings Noether's problem for $A_6$ and $A_7$ Growth beyond exponent $3/2$ for convexity and iterated sum sets AKE principles in roughly deeply ramified henselian valued fields Algebraic Structures on Sets of Partitions NP-hardness of ideal lattice problems Geometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractions Dynamical Mordell--Lang Conjecture for Higher-Rank Radially Ramified Skew Products
