3 papers
math.NT2026
Twisted Moments of Rankin-Selberg -functions in the Prime-Power Level Aspect
Fatma Çiçek, Alia Hamieh
We compute the twisted first and second moments of the shifted central values of the Rankin-Selberg -functions given by as varies over…
math.NT2025
Linear Combinations of Logarithms of -functions over Function Fields at Microscopic Shifts and Beyond
Fatma Çiçek, Pranendu Darbar, Allysa Lumley
In the function field setting with a fixed characteristic, it was proven by the second and third authors that the values as varies over…
math.NT2021
A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet -functions
Fatma Çiçek
The purpose of this paper is to generalize our earlier work on the logarithm of the Riemann zeta-function to linear combinations of logarithms of primitive Dirichlet -functions…