- Title
- On an intriguing integral and some series related to ζ (4)
- Creator
- Borwein, David; Borwein, Jonathan M.
- Relation
- Proceedings of the American Mathematical Society Vol. 123, Issue 4, p. 1191-1198
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-1995-1231029-X
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1995
- Description
- An intriguing log-cosine integral is fully analyzed and shown to have value a rational multiple of πζ (4), ζ being the Riemann zeta function. From this we deduce by means of generating functions and Parseval's identity the sums of certain series previously established by a completely different method.
- Subject
- Riemann zeta function; Parseval's identity; generating functions; log-cosine integrals; polylogarithms
- Identifier
- http://hdl.handle.net/1959.13/940441
- Identifier
- uon:13011
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 123, No. 4, pp. 1191-1198, 1995 published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 528 KB | Adobe Acrobat PDF | View Details Download |