Generalized Ramanujan-Sato Series Arising from Modular Forms
Number Theory
2022-10-14 v2
Abstract
Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for . We then use it to construct explicit examples related to non-compact arithmetic triangle groups, as classified by Takeuchi. Some of our examples are new, and some reproduce existing examples.
Cite
@article{arxiv.2202.13253,
title = {Generalized Ramanujan-Sato Series Arising from Modular Forms},
author = {Angelica Babei and Lea Beneish and Manami Roy and Holly Swisher and Bella Tobin and Fang-Ting Tu},
journal= {arXiv preprint arXiv:2202.13253},
year = {2022}
}
Comments
33 pages