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Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook
Published online by Cambridge University Press: 28 February 2012
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 2 , September 2012 , pp. 341 - 360
- Copyright
- Copyright © Cambridge Philosophical Society 2012
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