A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook

Bruce C. Berndt; Atul Dixit

doi:10.1007/978-1-4419-6263-8_12

A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook

Bruce C. Berndt, Atul Dixit

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Two proofs are given for a series transformation formula involving the logarithmic derivative of the Gamma function found in Ramanujan's lost notebook. The transformation formula is connected with a certain integral embodying the Riemann zeta function that is similar to integrals examined by Ramanujan in his one published paper on the zeta function.

Original language	English (US)
Title of host publication	The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
Publisher	Springer
Pages	199-210
Number of pages	12
ISBN (Print)	9781441962621
DOIs	https://doi.org/10.1007/978-1-4419-6263-8_12
State	Published - 2010

Keywords

Gamma function
Ramanujan's lost notebook
Riemann zeta function
Riemann Ξ-function

ASJC Scopus subject areas

Mathematics(all)

Online availability

10.1007/978-1-4419-6263-8_12

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A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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