Atul Dixit

Affiliation: University of Illinois at Urbana-Champaign

Email: aadixit2@illinois.edu

Title Of Talk: Analogues of a transformation formula of Ramanujan

Abstract: In a manuscript in 'The Lost Notebook and Other Unpublished Papers' is present a beautiful transformation formula of Ramanujan involving the Gamma and Riemann zeta functions which can be proved using an identity in Ramanujan's paper 'New expressions for Riemann's functions $\xi(s)$ and $\Xi(t)$'. Here we make use of two other identities given in the same paper to derive two transformation formulas both involving infinite series consisting of Hurwitz zeta functions and bearing a relation to a certain integral involving the Riemann $\Xi$ function.

Last update made Mon Feb 16 14:29:15 EST 2009.
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