A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook

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dc.creatorBerndt, Bruce C.
dc.creatorDixit, Atul
dc.date2009-04-07
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:13Z
dc.date.available2026-07-07T13:01:13Z
dc.descriptionIn 'The Lost Notebook and Other Unpublished Papers' of Ramanujan are present some manuscripts of Ramanujan in the handwriting of G. N. Watson which are 'copied from loose papers'.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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0904.1053
dc.identifierhttp://arxiv.org/abs/0904.1053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226085
dc.subjectNumber Theory
dc.subject11M06
dc.titleA transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook
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