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Ramanujan's integral identities of the Riemann Xi-function and the Lerch transcendent
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3초록
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.
키워드
Riemann Xi-function; Lerch transcendent; Digamma function; Mellin transform
- 제목
- Ramanujan's integral identities of the Riemann Xi-function and the Lerch transcendent
- 저자
- Kim, Namhoon
- 발행일
- 2016-11
- 유형
- Article
- 권
- 168
- 페이지
- 292 ~ 305