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構造と分布とL関数とディオファントス - 2026/11/3の論文87本

プレプリどんどん: math.NT · 3 ноября 2026 г. · 2 ч 32 мин

arXiv math.NTの新着論文87本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-03/ Cuspidal sheaves on the stack of L-parameters Porosity in Diophantine approximation On the Distribution of Prime Squares and Its Applications A power-saving asymptotic for a M\"obius-weighted GCD quadratic form The distribution of $\alpha\pi$ modulo one in $\Fq(T)$: beyond Matom\"aki's exponent Cyclotomic polynomials with trinomial irreducible factors over finite fields On Certain Congruences for Partition $k$-Tuples with $5$-Cores Partition statistics and universal mixed mock modular forms Twisting-free converse theorems for $\Gamma_0(32)$ and $\Gamma_0(36)$ On Ramanujan's cubic continued fraction, II The covering radius of the first-order Reed-Muller code in nine variables is 242 An exhaustion-aware product moment and zero-free half-planes for Hecke L-functions Two-point Pad\'e approximation and patterns in continued fractions for $(F_{n+1}/F_n)^k$ Uniform cubic bounds for irrational values of the dilogarithm On Wagstaff primes in the $k$-Pell number sequence Fermat curves and explicit class field theory for real quadratic number fields Entanglement for elliptic curve group orders Small-LCM Distinct Covering Systems via Segmented Local Search A secondary term in the first moment of primitive cubic Dirichlet L-functions Improved first moments of primitive quartic and sextic Dirichlet $L$-functions Adelic Galois representations are maximal for almost all Drinfeld modules A solution to the Erd\H{o}s-S\'{a}rk\"{o}zy product-density problem A Counterexample to Wooley's $L^1$ Question for Beatty Sequences Smooth numbers in simultaneous arithmetic progressions Counting Nilpotent Galois extensions with prescribed genus number A new upper bound for the irrationality exponent of $\zeta(5)$ Irrationality measures for $\Gamma(1/4)$ and $\Gamma(1/3)$ Inhomogeneous Fiber Refinement of Gallagher's Theorem Groups of Prime Units Finite Cotangent Power Sums Weighted by Additive Characters With Application to Mean Values of Additive-and-Multiplicatively Twisted $L$-Functions A Korselt Characterization of Carmichael Numbers of the Form $(aC_n+1)(aC_{n+1}+1)(aC_{n+2}+1)$ <li

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