モック形式とp進数と楕円曲線 - 2026/4/23の論文12本

arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-23/Explicit density computations for certain sets of primes in Lucas sequencesOn Uniqueness of Mock Theta FunctionsMinimal $a$-numbers of Artin--Schreier covers of ordinary curvesRoot numbers for twisted Fermat quotient curves IIOn the $I(1)$-invariants: Non-abelian Hecke algebra caseOn the singularities of differential equations satisfied by $E$-functionsOn the Hyperbolic Fractional Sum of the Divisor FunctionNon-vanishing of the $p$-adic constant for mock modular forms associated to a newform with real Fourier coefficientsOn sums of two squares and a basis of order $2$p-adic elliptic polylogarithms and cubic ChabautyMellin transforms, transfinite diameter and rational approximations of integralsFractal transference principle for continued fractions of Laurent series