5 citations · 11 across the 5 of their papers we have counts for
6 papers
On relations equivalent to the generalized Riemann hypothesis for the Selberg class
Kamel Mazhouda, Lejla Smajlović
In this paper we prove that the Generalized Riemann Hypothesis (GRH) for functions in the class containing the Selberg class is equivalent to a certain…
On the zeros of Dirichlet -functions
Sami Omar, Raouf Ouni, Kamel Mazhouda
In this paper, we compute and verify the positivity of the Li coefficients for the Dirichlet -functions using an arithmetic formula established in Omar and Mazhouda, J. Number T…
The saddle-point method and the Li coefficients
Kamel Mazhouda
In this paper, we apply the saddle-point method in conjunction with the theory of the Nrlund-Rice integrals to derive a precise asymptotic formula for the generalized Li…
New asymptotic formulas for sums over zeros of functions from the Selberg class
Kamel Mazhouda
In this paper, new asymptotic formulas for sums over zeros of functions from the Selberg class are obtained. These results continue the investigations of Murty Perelli \cite{1…
Distribution of the values of the derivative of the Dirichlet -functions at its -points
Mohamed Taïb Jakhlouti, Kamel Mazhouda
In this paper, we study the value distribution of the derivative of a Dirichlet -function at the -points of We give an asymptot…
Reformulation of the Li criterion for the Selberg class
Kamel Mazhouda
Let be a function in the Selberg class and be a real number not equal to 1/2. Consider the sum $$λ_{F}(n,a)=\sum_ρ\left[1-\left(\frac{ρ-a}{ρ+a-1}\right)^{n}\…