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math.NT2025
Second moments of general Dirichlet series and Selberg zeta functions at
Ramūnas Garunkštis, Jokūbas Putrius
In this paper, we prove the existence of the second moment at for a general Dirichlet series with positive coefficients whose partial sum of the coefficients up to satisf…
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 …