For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann zeta-function, has infinitely many zeros in the strip 1/2 < Re s < 1. For example, this is true for the functions sin ζ (s) and cos ζ (s)
AbstractIn this paper, we will show that there is a close connection between the vertical distributi...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$...
For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of ...
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2π...
The mollification ζ(s)+ζ′(s) put forward by Feng is computed by analytic methods coming from the tec...
In the paper, we obtain that certain linear and more general combinations of Dirichlet L-functions a...
AbstractA formula first derived by Müntz which relates the Riemann zeta function ζ times the Mellin ...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
AbstractIn this article, we study the zeros of ζ(σ0+s)±ζ(σ0−s) for a fixed σ0∈R. We give a complete ...
AbstractIn this paper, we will show that there is a close connection between the vertical distributi...
This paper studies zeta functions of the form $\sum_{n=1}^{\infty} \chi(n) n^{-s}$, with $\chi$ a co...
AbstractIn this paper, we will show that there is a close connection between the vertical distributi...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$...
For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of ...
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2π...
The mollification ζ(s)+ζ′(s) put forward by Feng is computed by analytic methods coming from the tec...
In the paper, we obtain that certain linear and more general combinations of Dirichlet L-functions a...
AbstractA formula first derived by Müntz which relates the Riemann zeta function ζ times the Mellin ...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
AbstractIn this article, we study the zeros of ζ(σ0+s)±ζ(σ0−s) for a fixed σ0∈R. We give a complete ...
AbstractIn this paper, we will show that there is a close connection between the vertical distributi...
This paper studies zeta functions of the form $\sum_{n=1}^{\infty} \chi(n) n^{-s}$, with $\chi$ a co...
AbstractIn this paper, we will show that there is a close connection between the vertical distributi...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$...
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