On an intriguing integral and some series related to $\zeta (4)$
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- by David Borwein and Jonathan M. Borwein PDF
- Proc. Amer. Math. Soc. 123 (1995), 1191-1198 Request permission
Abstract:
An intriguing log-cosine integral is fully analyzed and shown to have value a rational multiple of $\pi \zeta (4),\zeta$ 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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1191-1198
- MSC: Primary 11Y60; Secondary 11M06, 11Y35, 33B15, 42A16
- DOI: https://doi.org/10.1090/S0002-9939-1995-1231029-X
- MathSciNet review: 1231029