On Non-Vanishing of Convolution of Dirichlet Series
Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 321-332

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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.
DOI : 10.4153/CMB-2005-030-6
Mots-clés : 11M41
Akbary, Amir; Shahabi, Shahab. On Non-Vanishing of Convolution of Dirichlet Series. Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 321-332. doi: 10.4153/CMB-2005-030-6
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     title = {On {Non-Vanishing} of {Convolution} of {Dirichlet} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {321--332},
     year = {2005},
     volume = {48},
     number = {3},
     doi = {10.4153/CMB-2005-030-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-030-6/}
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