S. Gonek

collaborators

2 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 ÃiÃ§ek, Steven M. Gonek, Scott J. Kirila

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

math.NT2024

Consecutive moderate gaps between zeros of the Riemann zeta function

Steven M. Gonek, Anurag Sahay

Let $0 < I^_{1}^{3} \leq I^_{2}^{3} \leq \dots$ denote the ordinates of nontrivial zeros of the Riemann zeta function with positive imaginary parts. For $c > 0$ fixed (but possibly small), $T$ la…

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

Consecutive moderate gaps between zeros of the Riemann zeta function

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