A geometric introduction to transcendence questions on values of modular forms
Number Theory
2020-12-01 v1
Abstract
We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underlying geometric aspects. We finish with a brief discussion on periods and related open problems.
Keywords
Cite
@article{arxiv.2011.14401,
title = {A geometric introduction to transcendence questions on values of modular forms},
author = {Tiago J. Fonseca},
journal= {arXiv preprint arXiv:2011.14401},
year = {2020}
}
Comments
27 pages. This is an appendix for the upcoming monograph Modular and Automorphic Forms & beyond by Hossein Movasati. Comments are very welcome