Level 17 Ramanujan-Sato Series

Authors

Timothy Huber, The University of Texas Rio Grande ValleyFollow
Daniel Schultz
Dongxi Ye

Document Type

Article

Publication Date

6-2020

Abstract

Two level 17 modular functions r=q2∏n=1∞(1−qn)(n17),s=q2∏n=1∞(1−q17n)3(1−qn)3 are used to construct a new class of Ramanujan–Sato series for 1/π. The expansions are induced by modular identities similar to those level of 5 and 13 appearing in Ramanujan’s Notebooks. A complete list of rational and quadratic series corresponding to singular values of the parameters is derived.

Comments

© 2019 Springer Nature Switzerland AG. Original published version available at https://rdcu.be/c56pu

Recommended Citation

Huber, T., Schultz, D. & Ye, D. Level 17 Ramanujan–Sato series. Ramanujan J 52, 303–322 (2020). https://doi.org/10.1007/s11139-018-0097-5

First Page

303

Last Page

322

Publication Title

The Ramanujan Journal

DOI

10.1007/s11139-018-0097-5