An Unpublished Manuscript of Ramanujan on Infinite Series Identities

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter 12 in Ramanujan's Lost Notebook, 2013, pp 265-284 from Springer

Abstract: Abstract The material in this chapter was evidently intended for the conclusion of Ramanujan’s paper, Some formulae in the analytic theory of numbers. We see how partial fraction expansions were used by Ramanujan to derive many of his identities for infinite series, including his famous formula for $$\zeta (2n + 1)$$ .

Keywords: Unpublished Manuscript; Partial Fraction; Eisenstein Series; Bernoulli Number; Corrected Version (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-4081-9_12

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DOI: 10.1007/978-1-4614-4081-9_12

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