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.
Huber, Timothy; Schultz, Daniel; and Ye, Dongxi, "Level 17 Ramanujan-sato Series" (2019). Mathematical and Statistical Sciences Faculty Publications and Presentations. 32.
The Ramanujan Journal