Atul Dixit
Published 2009-04-07, updated 2009-04-08Version 2
We 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.
A few remarks on values of Hurwitz Zeta function at natural and rational arguments
Periodic analogues of Dedekind sums and transformation formulas of analytic Eisenstein series
Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series
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