Bruce C. Berndt

Affiliation: University of Illinois

Email: berndt@math.uiuc.edu

Title Of Talk: Ramanujan's series for 1/pi

Abstract: Beginning with Ramanujan's epic paper, Modular Equations and Approximations to $\pi$, we describe Ramanujan's series for $1/\pi$ and later attempts to prove them. Ramanujan's derivations employ Eisenstein series, and we show how his ideas lead to many new series for $1/\pi$ as well. Generalizations, analogues, and consequences of Ramanujan's series are discussed. This talk is based on joint work with Nayandeep Deka Baruah and Heng Huat Chan.

Last update made Wed Feb 13 22:27:49 EST 2008.
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