Journal of the Ramanujan Mathematical Society
Volume 39, Issue 1, March 2024 pp. 1–11.
Voros-Li type criterion for a class of L-functions
Authors:
Kajtaz H. Bllaca and Kamel Mazhouda
Author institution:
Departamento de
Department of Mathematics, University of Prishtina, Mother Theresa, no. 5, 10000 Prishtina, Kosovo.
Summary:
In this paper, we study a Li-type criterion for L-functions in a class containing the Selberg class with
real coefficients. First, we define two types of generalized Li-type coefficients and relate them with the Generalized
Riemann Hypothesis. Furthermore, we provide different analytic and arithmetic representations for these coefficients
and derive some interesting consequences on special value of the L-functions.
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