L関数とゼータ値とp進数と素数 - 2026/5/12の論文29本

arXiv math.NTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-12/Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$A Complete Answer to Erd\H{o}s Problem 690Rational Base Descent: A Deterministic Algorithm for Factoring Structured SemiprimesSome Omega results for Dirichlet $L$-functionsMultiple integral representations of the Catalan's constantNon-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splitsRational points on smooth surfaces in $\mathbb{P}^3$ over finite fieldsOn the coefficients of the Taylor expansion of $L$-functions of elliptic curvesLow-Lying Zeros on the Critical Line for Families of Dirichlet $L$-FunctionsOn the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduliAn analogue of a formula of Popov IIThe variation of zeros of the Miller basisLacunary recurrences and 2-adic properties of Eisenstein seriesOn Ramanujan Primes for Hecke-Maass Cusp FormsCongruences of first syntomic cohomology groupsThe Serre Derivatives and Zeros of Modular FormsAn explicit Galois descent for multiple $t$-values of maximal heightProof of a conjecture of Andrews and Bachraoui on a Hecke sumReciprocals of Subsum Polynomials$p$-adic Congruencens of Generalized Euler Numbers and Relations to Even Zeta ValueLearning from Ramanujan: Elementary Approaches to Profound IdeasThe martingale evolution of probability measures defined via the sum-of-digits functionsInvariant measure for double base expansionsRefined obstructions to local-global principles for 0-cyclesDeterministically finding an element of large order in $\mathbb{Z}_N^*$Convergence of orbital integrals on unitary groups in positive characteristicPoisson approximation of random latticesA solution to a strengthened conjecture of Bukh, van Hintum and Keevash on additive bases