Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook

Bruce C. Berndt; Heng Huat Chan; Yoshio Tanigawa

doi:10.1017/S0305004112000151

Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook

Bruce C. Berndt, Heng Huat Chan, Yoshio Tanigawa

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

On page 196 in his lost notebook, S. Ramanujan offers evaluations of two particular Dirichlet series. In this paper, we establish Ramanujan's evaluations and more general results by various approaches. The different evaluations arising from different methods yield intriguing, unsuspecting identities.

Original language	English (US)
Pages (from-to)	341-360
Number of pages	20
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	153
Issue number	2
DOIs	https://doi.org/10.1017/S0305004112000151
State	Published - Sep 2012

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Mathematics(all)

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title = "Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook",

abstract = "On page 196 in his lost notebook, S. Ramanujan offers evaluations of two particular Dirichlet series. In this paper, we establish Ramanujan's evaluations and more general results by various approaches. The different evaluations arising from different methods yield intriguing, unsuspecting identities.",

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Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook

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