%0 Journal Article
%T A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook
%A Bruce C. Berndt
%A Atul Dixit
%J Mathematics
%D 2009
%I arXiv
%X In 'The Lost Notebook and Other Unpublished Papers' of Ramanujan are present some manuscripts of Ramanujan in the handwriting of G. N. Watson which are 'copied from loose papers'. We present a proof of a beautiful formula of Ramanujan in one of these manuscripts, namely a transformation formula involving the Gamma function and Riemann Zeta function. This formula elegantly yields a modular relation. Later we also give another proof of the first equality of this transformation formula along the lines suggested by Andrew P. Guinand.
%U http://arxiv.org/abs/0904.1053v2