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math.NT2023★ 1 cited
The Uniform Distribution Modulo One of Certain Subsequences of Ordinates of Zeros of the Zeta Function
Fatma Çiçek, Steven M. Gonek
On the assumption of the Riemann hypothesis and a spacing hypothesis for the nontrivial zeros of the Riemann zeta function, we show that the sequence \[ Γ_{[a, b]} =\B…
math.NT2023
Mean values of long Dirichlet polynomials with divisor coefficients
Fatma Cicek, Alia Hamieh, Nathan Ng
In this article, we prove an asymptotic formula for the mean value of long smoothed Dirichlet polynomials with divisor coefficients. Our result has a main term that includes all lo…