Level $17$ Ramanujan-Sato series
Number Theory
2017-11-02 v1
Abstract
Two level 17 modular functions are used to construct a new class of Ramanujan-Sato series for . 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.
Keywords
Cite
@article{arxiv.1711.00459,
title = {Level $17$ Ramanujan-Sato series},
author = {Tim Huber and Dan Schultz and Dongxi Ye},
journal= {arXiv preprint arXiv:1711.00459},
year = {2017}
}
Comments
15 pages