Add to ORKGABSTRACT. A relation between the zeros of the partial sums and the zeros of the corresponding tails of the Maclaurin series for ez is established. This allows an asymptotic estimation of a quantity which came up in the theory of the Riemann zeta-function. Some new properties of the tails of ez are also provided. 1. Introduction. W
Abstract. Some statements concerning the distribution of imaginary parts of zeros of the Riemann zet...
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
In this paper a study is made of the asymptotic representation, by sums of exponentials of the form ...
Let νj denote a zero of the k-th partial sum of the Maclaurin series for e z. We find a sharper boun...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
Calculates the MacLaurin series for the exponential function. Also discusses the MacLaurin series fo...
The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of ...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
We are interested in studying the asymptotic behavior of the zeros of partial sums of power series f...
In this thesis it will be shown that the partial sums of the Maclaurin series for a certain class of...
AbstractThe relation between the exponential sums SN(x;p)=∑n=0N−1exp(πixnp) and T0≡T0(x;N,p)=∑n=1∞e−...
Abstract. We are interested in studying the asymptotic behavior of the zeros of partial sums of powe...
AbstractWe split the remainder term in the asymptotic formula for the mean of the Euler phi function...
Let f0(z)=exp(z/(1−z)), f1(z)=exp(1/(1−z))E1(1/(1−z)), where E1(x)=∫∞xe−tt−1dt. Let an=[zn]f0(z) and...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
Abstract. Some statements concerning the distribution of imaginary parts of zeros of the Riemann zet...
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
In this paper a study is made of the asymptotic representation, by sums of exponentials of the form ...
Let νj denote a zero of the k-th partial sum of the Maclaurin series for e z. We find a sharper boun...
Abstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann...
Calculates the MacLaurin series for the exponential function. Also discusses the MacLaurin series fo...
The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of ...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
We are interested in studying the asymptotic behavior of the zeros of partial sums of power series f...
In this thesis it will be shown that the partial sums of the Maclaurin series for a certain class of...
AbstractThe relation between the exponential sums SN(x;p)=∑n=0N−1exp(πixnp) and T0≡T0(x;N,p)=∑n=1∞e−...
Abstract. We are interested in studying the asymptotic behavior of the zeros of partial sums of powe...
AbstractWe split the remainder term in the asymptotic formula for the mean of the Euler phi function...
Let f0(z)=exp(z/(1−z)), f1(z)=exp(1/(1−z))E1(1/(1−z)), where E1(x)=∫∞xe−tt−1dt. Let an=[zn]f0(z) and...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
Abstract. Some statements concerning the distribution of imaginary parts of zeros of the Riemann zet...
As the number of terms, in the finite Riemann Zeta Dirichlet series exceed N = t·Nc/π where t is the...
In this paper a study is made of the asymptotic representation, by sums of exponentials of the form ...