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.
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
@article{10_4153_CMB_2005_030_6,
author = {Akbary, Amir and Shahabi, Shahab},
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/}
}
TY - JOUR AU - Akbary, Amir AU - Shahabi, Shahab TI - On Non-Vanishing of Convolution of Dirichlet Series JO - Canadian mathematical bulletin PY - 2005 SP - 321 EP - 332 VL - 48 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-030-6/ DO - 10.4153/CMB-2005-030-6 ID - 10_4153_CMB_2005_030_6 ER -
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