Abstract
A class of definite integrals are evaluated using the Cauchy residue theorem. These evaluations are then used to obtain closed-form expressions for several infinite series associated with the Riemann zeta function. A number of interesting (known or new) special cases and consequences of the main results are also considered.
Acknowledgements
The present investigation was supported by the Dongguk University Research Fund and the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353.