Ramanujan–Sato series for $1/\pi $
Volume 207 / 2023
Acta Arithmetica 207 (2023), 121-160
MSC: Primary 11F03; Secondary 11F11.
DOI: 10.4064/aa220621-19-12
Published online: 28 February 2023
Abstract
We compute Ramanujan–Sato series systematically in terms of Thompson series and their modular equations. A complete list of rational and quadratic series corresponding to singular values of the parameters is derived.