Add to ORKGAbstract. E. Landau gave an interesting asymptotic formula for a sum in-volving zeros of the Riemann zeta-function. We give an asymptotic formula which can be regarded as a smoothed version of Landau’s formula. 1
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riem...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of ...
Abstract. Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz...
Landau proved, for any fixed $x>1$, that $$\sum_{0<\gamma\leq T} x^\rho = -\frac{T}{2\pi} \Lambda...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann ...
We consider the sum , where ranges over the ordinates of nontrivial zeros of the Riemann zeta-funct...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
ABSTRACT. A relation between the zeros of the partial sums and the zeros of the corresponding tails ...
Abstract. A. Fujii, and later J. Steuding, considered an asymptotic formula for the sum of values of...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN011243 / BLDSC - British Library D...
AbstractWe split the remainder term in the asymptotic formula for the mean of the Euler phi function...
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riem...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of ...
Abstract. Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz...
Landau proved, for any fixed $x>1$, that $$\sum_{0<\gamma\leq T} x^\rho = -\frac{T}{2\pi} \Lambda...
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-functio...
Abstract: In connection with Riemann hypothesis on zeros of zeta-function ζ(s) the asympto...
In this article we derive a generalization of the Riemann-Siegel asymptotic formula for the Riemann ...
We consider the sum , where ranges over the ordinates of nontrivial zeros of the Riemann zeta-funct...
Dedicated to Trevor Stuart with deep gratitude We present several formulae for the large t asymptoti...
ABSTRACT. A relation between the zeros of the partial sums and the zeros of the corresponding tails ...
Abstract. A. Fujii, and later J. Steuding, considered an asymptotic formula for the sum of values of...
AbstractUsing summability it is shown that ∑n⩾2 (Λ(n) − 1) n−12(log n)−8 defines an entire function ...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN011243 / BLDSC - British Library D...
AbstractWe split the remainder term in the asymptotic formula for the mean of the Euler phi function...
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riem...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of ...