Generalized Ramanujan–Sato Series Arising from Modular Forms

Authors

Angelica Babei, McMaster University, Faculty of Science
Lea Beneish, University of North Texas
Manami Roy, Lafayette College
Holly Swisher, Oregon State University
Bella Tobin, Agnes Scott College
Fang Ting Tu, Louisiana State University

Document Type

Article

Publication Date

1-1-2024

Abstract

Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem that produces Ramanujan–Sato series for 1∕π. 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.

Publication Source (Journal or Book title)

Association for Women in Mathematics Series

First Page

87

Last Page

131

Recommended Citation

Babei, A., Beneish, L., Roy, M., Swisher, H., Tobin, B., & Tu, F. (2024). Generalized Ramanujan–Sato Series Arising from Modular Forms. Association for Women in Mathematics Series, 33, 87-131. https://doi.org/10.1007/978-3-031-51677-1_3