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Ramanujan's integral identities of the Riemann Xi-function and the Lerch transcendent
- Authors
- Kim, Namhoon
- Issue Date
- Nov-2016
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Riemann Xi-function; Lerch transcendent; Digamma function; Mellin transform
- Citation
- JOURNAL OF NUMBER THEORY, v.168, pp.292 - 305
- Journal Title
- JOURNAL OF NUMBER THEORY
- Volume
- 168
- Start Page
- 292
- End Page
- 305
- ISSN
- 0022-314X
- Abstract
- We give simple proofs of Ramanujan's integral identities of the Riemann Xi-function and derive a general identity involving the Lerch transcendent. A corresponding modular type relation is also derived. (C) 2016 Elsevier Inc. All rights reserved.
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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
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Related Researcher
- Kim, Nam hoon
- Education (Mathematics Education)