Fatma Çiçek

collaborators

3 papers

math.NT2025

A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet $L$ -functions Sampled at the Zeros of the Zeta Function

Fatma Çiçek, Steven M. Gonek, Scott J. Kirila

Let $L (s, χ_{1}), \dots, L (s, χ_{N})$ be primitive Dirichlet $L$ -functions different from the Riemann zeta function. Under suitable hypotheses we prove that any linear combination $a_…

math.NT2023

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 $\frac{1}{2} + iγ$ 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…

A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet L-functions Sampled at the Zeros of the Zeta Function

The Uniform Distribution Modulo One of Certain Subsequences of Ordinates of Zeros of the Zeta Function

Mean values of long Dirichlet polynomials with divisor coefficients

A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet $L$ -functions Sampled at the Zeros of the Zeta Function