Document Type

Article

Publication Date

2-2019

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://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

Included in

Mathematics Commons

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