Rapidly Converging Series for ζ(2n+1) from Fourier Series

Ever since Euler first evaluated ζ(2) and ζ(2m), numerous interesting solutions of the problem of evaluating the ζ(2m)  (m∈ℕ) have appeared in the mathematical literature. Until now no simple formula analogous to the evaluation of ζ(2m)  (m∈ℕ) is known for ζ(2m+1)  (m∈ℕ) or even for any special case...

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Bibliographic Details
Main Author: Junesang Choi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/457620
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