AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's ξ-function on the critical line are given. In particular, it is shown that the proportion tends to one as the order of the derivative tends to infinity
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
© 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved. We investiga...
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2π...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's ξ-function...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's xi-functio...
AbstractBy estimating the change in argument of a certain function it has been shown that at least 0...
AbstractWe prove unconditional upper bounds for the second and fourth discrete moment of the first d...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's xi-functio...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
AbstractLet 0 < γ1 ≤ γ2 ≤ … be the imaginary part of the zeros, λ = limn(γn − γn − 1)(logγn2π) and μ...
AbstractLetkbe any positive integer andN0,k(T) the number of the zeros in the interval (0,T) ofZ(k)(...
AbstractWe introduce a new mollifier and apply the method of Levinson and Conrey to prove that at le...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
© 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved. We investiga...
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2π...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's ξ-function...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's xi-functio...
AbstractBy estimating the change in argument of a certain function it has been shown that at least 0...
AbstractWe prove unconditional upper bounds for the second and fourth discrete moment of the first d...
AbstractExplicit lower bounds for the proportion of zeros of the derivatives of Riemann's xi-functio...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
For some classes of functions F, we obtain that the function F(ζ(s)), where ζ(s) denotes the Riemann...
AbstractThe function S(T) is the error term in the formula for the number of zeros of the Riemann ze...
AbstractLet 0 < γ1 ≤ γ2 ≤ … be the imaginary part of the zeros, λ = limn(γn − γn − 1)(logγn2π) and μ...
AbstractLetkbe any positive integer andN0,k(T) the number of the zeros in the interval (0,T) ofZ(k)(...
AbstractWe introduce a new mollifier and apply the method of Levinson and Conrey to prove that at le...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
AbstractAssuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros...
© 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved. We investiga...
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2π...
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