In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann zeta function. By subtracting the singularities closest to the critical point we obtain a significant reduction of the error term at the expense of a few evaluations of the error function. We illustrate the efficiency of this method by comparing it to the classical Riemann-Siegel formula
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
This paper concerns the function $S(T)$, where $\pi S(T)$ is the argument of the Riemann zeta-functi...
This thesis is a survey of the derivation and implementation of the Riemann-Siegel formula for comp...
<div>Approximate lower bounds > 0, for abs ( ζ ( s )) off the critical line are generated using the ...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
Two identities extracted from the literature are coupled to obtain an integral equation for Riemann’...
Die asymptotische Entwicklung der Funktion \(Z(t)=e^{i\vartheta(t)}\zeta{(1/2+it)}\) für reelle \(t\...
Abstract We have introduced a new generalization of the Riemann zeta function. A special case of our...
. We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae r...
We revisit a representation for the Riemann zeta function $\zeta(s)$ expressed in terms of normalise...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
In this work we consider an equation for the Riemann zeta-function in the critical half-strip. With ...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
This paper concerns the function S(t), the argument of the Riemann zeta-function along the critical...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
This paper concerns the function $S(T)$, where $\pi S(T)$ is the argument of the Riemann zeta-functi...
This thesis is a survey of the derivation and implementation of the Riemann-Siegel formula for comp...
<div>Approximate lower bounds > 0, for abs ( ζ ( s )) off the critical line are generated using the ...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
Two identities extracted from the literature are coupled to obtain an integral equation for Riemann’...
Die asymptotische Entwicklung der Funktion \(Z(t)=e^{i\vartheta(t)}\zeta{(1/2+it)}\) für reelle \(t\...
Abstract We have introduced a new generalization of the Riemann zeta function. A special case of our...
. We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae r...
We revisit a representation for the Riemann zeta function $\zeta(s)$ expressed in terms of normalise...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
In this work we consider an equation for the Riemann zeta-function in the critical half-strip. With ...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
This paper concerns the function S(t), the argument of the Riemann zeta-function along the critical...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
This paper concerns the function $S(T)$, where $\pi S(T)$ is the argument of the Riemann zeta-functi...
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