Geodesic
On the Non-Vanishing of a Certain Class of Dirichlet Series
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 364-369

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we consider Dirichlet series with Euler products of the form F(s) = Πp in > 1, and which are regular in ≥ 1 except for a pole of order m at s = 1. We establish criteria for such a Dirichlet series to be nonvanishing on the line of convergence. We also show that our results can be applied to yield non-vanishing results for a subclass of the Selberg class and the Sato-Tate conjecture.
DOI : 10.4153/CMB-1997-043-6
Mots-clés : Primary: 11Mxx, Secondary: 11M41 
Narayanan, Sridhar. On the Non-Vanishing of a Certain Class of Dirichlet Series. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 364-369. doi: 10.4153/CMB-1997-043-6
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