3 papers
math.NT2025
Selberg Zeta Functions Have Second Moment At
Ramūnas Garunkštis, Jokūbas Putrius
In this paper, we demonstrate the existence of the second moment of the Selberg zeta function for a cofinite Fuchsian group at . Note that by employing the recent approach of…
math.NT2025
The Lindelöf Hypothesis for Zeta Zero Ordinates
Ramūnas Garunkštis, Athanasios Sourmelidis, Jörn Steuding
We provide conditional and unconditional asymptotic formulae for the exponential sums , where the summation is over the ordinates of the nontrivial zeros …
math.NT2019
Symmetry of zeros of Lerch zeta-function for equal parameters
Ramūnas Garunkštis, Rokas Tamošiūnas
For most values of parameters and , the zeros of the Lerch zeta-function are distributed very chaotically. In this paper we consider the special case of equal p…