AbstractIn this paper, we prove an explicit asymptotic formula for the arithmetic formula of the Li coefficients established in Omar and Mazhouda (2007) [10] and Omar and Mazhouda (2010) [11]. Actually, for any function F(s) in the Selberg class S, we haveRH⇔λF(n)=dF2nlogn+cFn+O(nlogn), withcF=dF2(γ−1)+12log(λQF2),λ=∏j=1rλj2λj, where γ is the Euler constant
First we obtain the analytic properties of certain multidimensional non-linear twists of L-functions...
We obtain the analytic properties of the standards twists of the L-functions in the Selberg class, i...
The Keiper/Li constants {λ_n } n=1,2,... are asymptotically (n → ∞) sensitive to the Riemann Hypothe...
AbstractWe generalise Li's criterion, already known for the Riemann zeta function, to a large class ...
AbstractIn this paper we obtain a full asymptotic expansion of the archimedean contribution to the L...
Abstract. We define generalized Li coefficients, called τ−Li coefficients for a very broad class S][...
AbstractIn this paper, we extend Li's criterion for a function field K of genus g over a finite fiel...
1 Latex file, 5 pages, submitted to C.R. Acad. Sci. (Paris) Sér. I. V2: notation corrected in eq.(7)...
The Selberg class S is a rather general class of Dirichlet series with functional equation and Euler...
Given a function $F$ from the Selberg class, we show that if $F$ has a polynomial Euler product, the...
AbstractAssuming the Riemann hypothesis, we prove [formula] and [formula] with economical constants ...
AbstractAssuming the Riemann hypothesis, we prove [formula] and [formula] with economical constants ...
This thesis is comprised of three articles in which we prove explicit estimates for different number...
l’hypothèse de Riemann pour une fonction F de la classe de Selberg est équivalente à l’appartenance ...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
First we obtain the analytic properties of certain multidimensional non-linear twists of L-functions...
We obtain the analytic properties of the standards twists of the L-functions in the Selberg class, i...
The Keiper/Li constants {λ_n } n=1,2,... are asymptotically (n → ∞) sensitive to the Riemann Hypothe...
AbstractWe generalise Li's criterion, already known for the Riemann zeta function, to a large class ...
AbstractIn this paper we obtain a full asymptotic expansion of the archimedean contribution to the L...
Abstract. We define generalized Li coefficients, called τ−Li coefficients for a very broad class S][...
AbstractIn this paper, we extend Li's criterion for a function field K of genus g over a finite fiel...
1 Latex file, 5 pages, submitted to C.R. Acad. Sci. (Paris) Sér. I. V2: notation corrected in eq.(7)...
The Selberg class S is a rather general class of Dirichlet series with functional equation and Euler...
Given a function $F$ from the Selberg class, we show that if $F$ has a polynomial Euler product, the...
AbstractAssuming the Riemann hypothesis, we prove [formula] and [formula] with economical constants ...
AbstractAssuming the Riemann hypothesis, we prove [formula] and [formula] with economical constants ...
This thesis is comprised of three articles in which we prove explicit estimates for different number...
l’hypothèse de Riemann pour une fonction F de la classe de Selberg est équivalente à l’appartenance ...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
First we obtain the analytic properties of certain multidimensional non-linear twists of L-functions...
We obtain the analytic properties of the standards twists of the L-functions in the Selberg class, i...
The Keiper/Li constants {λ_n } n=1,2,... are asymptotically (n → ∞) sensitive to the Riemann Hypothe...
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