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https://doi.org/10.1017/S0305004112000151
Title: | Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook | Authors: | Berndt, B.C. Chan, H.H. Tanigawa, Y. |
Issue Date: | Sep-2012 | Citation: | Berndt, B.C., Chan, H.H., Tanigawa, Y. (2012-09). Two Dirichlet series evaluations found on page 196 of Ramanujan's Lost Notebook. Mathematical Proceedings of the Cambridge Philosophical Society 153 (2) : 341-360. ScholarBank@NUS Repository. https://doi.org/10.1017/S0305004112000151 | 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. © 2012 Cambridge Philosophical Society. | Source Title: | Mathematical Proceedings of the Cambridge Philosophical Society | URI: | http://scholarbank.nus.edu.sg/handle/10635/104647 | ISSN: | 03050041 | DOI: | 10.1017/S0305004112000151 |
Appears in Collections: | Staff Publications |
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