1 citations · 1 across the 5 of their papers we have counts for
5 papers
A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet -functions Sampled at the Zeros of the Zeta Function
Fatma Çiçek, Steven M. Gonek, Scott J. Kirila
Let be primitive Dirichlet -functions different from the Riemann zeta function. Under suitable hypotheses we prove that any linear combination $a_…
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…
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…
The completed standard -function of modular forms on
Fatma Çiçek, Giuliana Davidoff, Sarah Dijols +3
The goal of this paper is to provide a complete and refined study of the standard -functions for certain non-generic cuspidal automorphic representat…
On the Logarithm of the Riemann Zeta-function Near the Nontrivial Zeros
Fatma Cicek
Assuming the Riemann hypothesis and Montgomery's Pair Correlation Conjecture, we investigate the distribution of the sequences and Here $ρ=\frac12+…