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Closed-form evaluations of definite integrals and associated infinite series involving the Riemann zeta function.
- Source :
- International Journal of Computer Mathematics; May/Jun2006, Vol. 83 Issue 5/6, p461-472, 12p
- Publication Year :
- 2006
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 83
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 23233806
- Full Text :
- https://doi.org/10.1080/00207160600914785