3 papers
math.NT2026
Joint extreme values of -functions on and off the critical line
Athanasios Sourmelidis
It is shown that any number of distinct primitive and -functions can simultaneously attain large values on the critical line. This is an uncond…
math.NT2026
An additive application of the resonance method
Athanasios Sourmelidis
We improve upon an Omega result due to Soundararajan with respect to general trigonometric polynomials having positive Fourier coefficients. Instead of Dirichlet's approximation th…
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 $\sum_γ\,γ^{-iÏ}$, where the summation is over the ordinates of the nontrivial zeros $Ï=β…