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Talk: A solution of Sun's $520 challenge concerning 520/pi (Dublin)

A solution of Sun's $520 challenge concerning 520/pi (Dublin)

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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Date: 2013/03/14
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