This paper is concerned with a functional relationship between Dirichlet series with periodic coefficients and their transforms. For the classical Zeta and Dirichlet L-functions this provides an alternative proof of the classical functional equations
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
Mathematical description of Fourier transform of the periodic structure. We introduce the concept of...
This paper establishes new bridges between number theory and modern harmonic analysis, namely betwee...
This paper is concerned with a functional relationship between Dirichlet series with periodic coeffi...
Abstract. Series acceleration formulas are obtained for Dirichlet series with periodic coefficients....
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special c...
The structure of the extended Selberg class of degree one was completely revealed by Kaczorowski and...
AbstractIn the past decade, many relation formulas for the multiple zeta values, further for the mul...
We describe the solutions of the linear equation aX + bY = cZ in the class of Dirichlet series with ...
Analytic continuation and functional equation of Riemann's type are proved for a class of Dirichlet ...
The class of Dirichlet series associated with a periodic arithmetical function $f$ includes the Riem...
Ramanujan's formula for the Riemann-zeta function is one of his most celebrated. Beginning with...
Besides a well known example of Davenport and Heilbronn, there exist other Dirichlet series satisfyi...
Let $chi$ (mod $q$), $q>1$, be a primitive Dirichlet character. We first present a detailed accou...
We consider the zeta functions satisfying the functional equation with multiple gamma factors and pr...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
Mathematical description of Fourier transform of the periodic structure. We introduce the concept of...
This paper establishes new bridges between number theory and modern harmonic analysis, namely betwee...
This paper is concerned with a functional relationship between Dirichlet series with periodic coeffi...
Abstract. Series acceleration formulas are obtained for Dirichlet series with periodic coefficients....
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special c...
The structure of the extended Selberg class of degree one was completely revealed by Kaczorowski and...
AbstractIn the past decade, many relation formulas for the multiple zeta values, further for the mul...
We describe the solutions of the linear equation aX + bY = cZ in the class of Dirichlet series with ...
Analytic continuation and functional equation of Riemann's type are proved for a class of Dirichlet ...
The class of Dirichlet series associated with a periodic arithmetical function $f$ includes the Riem...
Ramanujan's formula for the Riemann-zeta function is one of his most celebrated. Beginning with...
Besides a well known example of Davenport and Heilbronn, there exist other Dirichlet series satisfyi...
Let $chi$ (mod $q$), $q>1$, be a primitive Dirichlet character. We first present a detailed accou...
We consider the zeta functions satisfying the functional equation with multiple gamma factors and pr...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
Mathematical description of Fourier transform of the periodic structure. We introduce the concept of...
This paper establishes new bridges between number theory and modern harmonic analysis, namely betwee...