A note on transcendence of special values of functions related to modularity
Number Theory
2024-08-02 v1
Abstract
In this note, we study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasi-modular forms with respect to arbitrary congruence subgroups, that have algebraic Fourier coefficients. This approach unifies many of the known results, and leads to generalizations of the theorems of Schneider, Nesterenko and others.
Keywords
Cite
@article{arxiv.2408.00271,
title = {A note on transcendence of special values of functions related to modularity},
author = {Tapas Bhowmik and Siddhi Pathak},
journal= {arXiv preprint arXiv:2408.00271},
year = {2024}
}
Comments
18 pages. To appear in Acta Arithmetica