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# On Non-Vanishing of Convolution of Dirichlet Series

Published:2005-09-01
Printed: Sep 2005
• Amir Akbary
• Shahab Shahabi
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## Abstract

We study the non-vanishing on the line $Re(s)=1$ 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 $Re(s)=1$ will be simple corollaries of our general theorems.