Analogues of a transformation formula of Ramanujan

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dc.creatorDixit, Atul
dc.date2009-04-07
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:14Z
dc.date.available2026-07-07T13:01:14Z
dc.descriptionWe derive two new analogues of a transformation formula of Ramanujan involving the Gamma and Riemann zeta functions present in the Lost Notebook. Both involve infinite series consisting of Hurwitz zeta functions and yield modular relations. As a special case of the first formula, we obtain an identity involving polygamma functions given by Andrew P. Guinand and as a limiting case of the second formula, we derive the transformation formula of Ramanujan.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0904.1056
dc.identifierhttp://arxiv.org/abs/0904.1056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226086
dc.subjectNumber Theory
dc.subject11M06, 11M35
dc.titleAnalogues of a transformation formula of Ramanujan
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