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Some Definite Integrals Associated with the Riemann Zeta Function

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journal contribution
posted on 01.10.2009 by H. M. Srivasata, M. L. Glasser, Victor S. Adamchik
The authors aim at deriving a family of series representations for ζ(2n + 1)(n ∊ N) by evaluating certain trigonometric integrals in several different ways. They also show how the results presented in this paper relate to those that were obtained in other works. Finally, some illustrative computational examples, using Mathematica (Version 4.0) for Linux, are considered