Abstract
Two level 17 modular functions
are used to construct a new class of Ramanujan–Sato series for \(1/\pi \). 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.
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The research of Dongxi Ye is partially supported by an NSF Grant DMS-1500743.
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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
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DOI: https://doi.org/10.1007/s11139-018-0097-5