Generalized Ramanujan-Sato Series Arising from Modular Forms

Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for \(1/\pi\). 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 e...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Babei, Angelica, Beneish, Lea, Roy, Manami, Swisher, Holly, Tobin, Bella, Fang-Ting, Tu
Format: Article
Language:English
Online Access:Get full text
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Summary:Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for \(1/\pi\). 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.
ISSN:2331-8422