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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.
 

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