Date: 2013/03/14
Occasion: 27th Automorphic Forms Workshop
Place: University College Dublin
Abstract
Series for \(1/\pi\) and their relation to modular forms have a long history going back to Ramanujan. We will review this connection and give a brief account of the history. We then indicate how to prove a Ramanujan-type formula for \(520/\pi\) that was conjectured by Zhi-Wei Sun. A key ingredient is a hypergeometric representation of the relevant double series, which relies on a recent generating function for Legendre polynomials by James Wan and Wadim Zudilin.
This is joint work with Mathew D. Rogers.
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| 2013sun520-dublin.pdf | 857.39 KB | Slides (PDF, 41 pages) | 1708 |