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Some series involving the zeta function

Published online by Cambridge University Press:  17 April 2009

Junesang Choi ,
H.M. Srivastava  and
J.R. Quine
Junesang Choi
Affiliation:
Department of Mathematics, Dongguk University, Kyongju 780 714, Korea
H.M. Srivastava
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria BC V8W 3P4, Canada
J.R. Quine
Affiliation:
Department of Mathematics, Florida State University, Tallahassee FL 32304, United States of America
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Abstract

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Lots of formulas for series of zeta function have been developed in many ways. We show how we can apply the theory of the double gamma function, which has recently been revived according to the study of determinants of Laplacians, to evaluate some series involving the Riemann zeta function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 383 - 393
Copyright
Copyright © Australian Mathematical Society 1995

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