A note on transcendence of special values of functions related to modularity
Acta Arithmetica
MSC: Primary 11J91; Secondary 11F03, 11F11
DOI: 10.4064/aa240128-7-9
Published online: 6 February 2025
Abstract
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.
