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On Non-Vanishing of Convolution of Dirichlet Series

Published online by Cambridge University Press:  20 November 2018

Amir Akbary  and
Shahab Shahabi
Amir Akbary
Affiliation:
Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, Lethbridge, AB, T1K 3M4 e-mail: akbary@cs.uleth.ca
Shahab Shahabi
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 SherbrookWest, Montreal, QC, H3A 2K6 e-mail: shahabi@math.mcgill.ca
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Abstract

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We study the non-vanishing on the line $\operatorname{Re}\left( s \right)=1$ of the convolution series associated to two Dirichlet series in a certain class of Dirichlet series. The non-vanishing of various $L$-functions on the line $\operatorname{Re}\left( s \right)=1$ will be simple corollaries of our general theorems.

Keywords

11M41
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 3 , 01 September 2005 , pp. 321 - 332
Copyright
Copyright © Canadian Mathematical Society 2005

References

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