Add to ORKGAbstract. Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan’s formula for the values of the Riemann zeta function at the odd positive integers exceeding two, and related formulas for values of Dirichlet L-series and the Lerch zeta function. Key words: Dirichlet series, acceleration of series, L-series, Riemann zeta function, Lerch zeta function
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
ABSTRACT. This paper sketches a technique for improving the rate of convergence of a general oscilla...
The finite Dirichlet series of the title are defined by the condition that they vanish at as many in...
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special c...
Ramanujan's formula for the Riemann-zeta function is one of his most celebrated. Beginning with...
Ramanujan\u27s formula for the Riemann-zeta function is one of his most celebrated. Beginning with M...
We prove generating function identities producing fast convergent series for the sequences beta(2n +...
This paper is concerned with a functional relationship between Dirichlet series with periodic coeffi...
AbstractBy q-calculation, we prove some recursion formulas for the values of Riemann ζ-function ζ(s)...
Using formulas of G. Hardy and S. Ramanujan we give several integral formulas for the Riemann zeta f...
AbstractThis letter deals with rapidly converging series representations of the Riemann Zeta functio...
Abstract: Fourier series for Euler polynomials is used to obtain information about values of the Rie...
The rate of convergence of infinite series can be accelerated b y a suitable splitting of each term ...
A new method for continuing the usual Dirichlet series that defines the Riemann zeta functio...
International audienceWe study three special Dirichlet series, two of them alternating, related to t...
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
ABSTRACT. This paper sketches a technique for improving the rate of convergence of a general oscilla...
The finite Dirichlet series of the title are defined by the condition that they vanish at as many in...
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special c...
Ramanujan's formula for the Riemann-zeta function is one of his most celebrated. Beginning with...
Ramanujan\u27s formula for the Riemann-zeta function is one of his most celebrated. Beginning with M...
We prove generating function identities producing fast convergent series for the sequences beta(2n +...
This paper is concerned with a functional relationship between Dirichlet series with periodic coeffi...
AbstractBy q-calculation, we prove some recursion formulas for the values of Riemann ζ-function ζ(s)...
Using formulas of G. Hardy and S. Ramanujan we give several integral formulas for the Riemann zeta f...
AbstractThis letter deals with rapidly converging series representations of the Riemann Zeta functio...
Abstract: Fourier series for Euler polynomials is used to obtain information about values of the Rie...
The rate of convergence of infinite series can be accelerated b y a suitable splitting of each term ...
A new method for continuing the usual Dirichlet series that defines the Riemann zeta functio...
International audienceWe study three special Dirichlet series, two of them alternating, related to t...
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
ABSTRACT. This paper sketches a technique for improving the rate of convergence of a general oscilla...
The finite Dirichlet series of the title are defined by the condition that they vanish at as many in...