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van der Pol Expansions of L-Series

Published online by Cambridge University Press:  20 November 2018

David Borwein  and
Jonathan Borwein
David Borwein
Affiliation:
Department of Mathematics, University of Western Ontario, London, ON, N6A 5B7 e-mail: dborwein@uwo.ca
Jonathan Borwein
Affiliation:
Faculty of Computer Science, Dalhousie University, Halifax, NS, B3H 1W5 e-mail: jborwein@cs.dal.ca
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Abstract

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We provide concise series representations for various $\text{L}$-series integrals. Different techniques are needed below and above the abscissa of absolute convergence of the underlying $\text{L}$-series.

Keywords

11M3511M4130B50Dirichlet series integralsHurwitz zeta functionsPlancherel theoremsL-series
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 11 - 23
Copyright
Copyright © Canadian Mathematical Society 2007

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