AbstractWe generalise Li's criterion, already known for the Riemann zeta function, to a large class of Dirichlet series. We give first an explicit formula for the coefficients λF(n)=∑ρ[1−(1−1ρ)n], for all positive integers n and ρ runs over all the non-trivial zeros of a function F in this class. To do so, we use the Weil Explicit Formula
In this thesis we introduce the Rankin-Selberg hypothesis in the Selberg Class to obtain a non-vanis...
We prove that every functional equation of Riemann's type has infinitely many linearly independent s...
En este trabajo se estudian aplicaciones aritméticas de la teoría de funciones zeta y L, enfatizand...
AbstractIn this paper, we prove an explicit asymptotic formula for the arithmetic formula of the Li ...
Abstract. We define generalized Li coefficients, called τ−Li coefficients for a very broad class S][...
In this work we consider Dirichlet polynomials that belong to the extended Selberg class. Functions ...
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)...
We prove the conjecture stating that the degree 1 functions in the Selberg class are the Riemann zet...
AbstractLet ζ denote the Riemann zeta function, and let ξ(s)=s(s-1)π-s/2Γ(s/2)ζ(s) denote the comple...
The finite Dirichlet series of the title are defined by the condition that they vanish at as many in...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
A. Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zeros of t...
Abstract Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zero...
In this thesis we introduce the Rankin-Selberg hypothesis in the Selberg Class to obtain a non-vanis...
We prove that every functional equation of Riemann's type has infinitely many linearly independent s...
En este trabajo se estudian aplicaciones aritméticas de la teoría de funciones zeta y L, enfatizand...
AbstractIn this paper, we prove an explicit asymptotic formula for the arithmetic formula of the Li ...
Abstract. We define generalized Li coefficients, called τ−Li coefficients for a very broad class S][...
In this work we consider Dirichlet polynomials that belong to the extended Selberg class. Functions ...
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)...
We prove the conjecture stating that the degree 1 functions in the Selberg class are the Riemann zet...
AbstractLet ζ denote the Riemann zeta function, and let ξ(s)=s(s-1)π-s/2Γ(s/2)ζ(s) denote the comple...
The finite Dirichlet series of the title are defined by the condition that they vanish at as many in...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involvi...
A. Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zeros of t...
Abstract Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zero...
In this thesis we introduce the Rankin-Selberg hypothesis in the Selberg Class to obtain a non-vanis...
We prove that every functional equation of Riemann's type has infinitely many linearly independent s...
En este trabajo se estudian aplicaciones aritméticas de la teoría de funciones zeta y L, enfatizand...
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