A note on transcendence of special values of functions related to modularity

Autorzy

Dane publikacji

  • DOI: 10.4064/aa240128-7-9

  • Tom 218

  • Zeszyt 1

  • Czasopismo: Acta Arithmetica

  • Strony: 1-23

  • Data publikacji online: 05.02.2025

Liczba wyświetleń: 0

Liczba pobrań: 0

Abstrakt

We study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasimodular forms with respect to arbitrary congruence subgroups, which have algebraic Fourier coefficients. This approach unifies many of the known results, and leads to generalizations of the theorems of Schneider, Nesterenko and others.
A note on transcendence of special values of functions related to modularity - Acta Arithmetica | Wydawnictwa - Instytut Matematyczny Polskiej Akademii Nauk