# On some intriguing sums involving $\zeta$ (4)

Borwein, David and Borwein, Jonathan M. (1995) On some intriguing sums involving $\zeta$ (4). Proceedings of the American Mathematical Society, 123 . pp. 111-118. ISSN 0002-9939

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## Abstract

An intriguing log-cosine integral is fully analyzed and shown to have value a rational multiple of 7r£(4), C 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.

Item Type: Article UNSPECIFIED UNSPECIFIED Mrs Naghmana Tehseen 14 Jan 2015 09:49 14 Jan 2015 09:49 https://docserver.carma.newcastle.edu.au/id/eprint/1538