Add to ORKGAbstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asymptotic formula for coefficients of the Tailor series of the function ξ(s)=(1/2)s(s-1)π-s/2Γ(s/2) ζ(s) at the point s=1/2 is found.Note: Research direction:Mathematical problems and theory of numerical method
In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann ...
From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight ...
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmet...
Abstract. Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
Introduction. The functional equation of the Riemann zeta-function may be expressed in the asymmetri...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
Two identities extracted from the literature are coupled to obtain an integral equation for Riemann’...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2017.This thesis has three part...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
"Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by ...
AbstractIn this article we study two problems raised by a work of Conrey and Ghosh from 1989. Let ζ(...
AbstractWe derive asymptotic estimates for the coefficient of zk in (f(z))n when n→∞ and k is of ord...
In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann ...
From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight ...
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmet...
Abstract. Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
Introduction. The functional equation of the Riemann zeta-function may be expressed in the asymmetri...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
Two identities extracted from the literature are coupled to obtain an integral equation for Riemann’...
Thesis (Ph. D.)--University of Rochester. Department of Mathematics, 2017.This thesis has three part...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
"Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by ...
AbstractIn this article we study two problems raised by a work of Conrey and Ghosh from 1989. Let ζ(...
AbstractWe derive asymptotic estimates for the coefficient of zk in (f(z))n when n→∞ and k is of ord...
In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann ...
From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight ...
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmet...