Athanasios Sourmelidis

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20202026

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math.NT2026

Joint extreme values of $L$ -functions on and off the critical line

Athanasios Sourmelidis

It is shown that any number of distinct primitive $GL (1)$ and $GL (2)$ $L$ -functions can simultaneously attain large values on the critical line. This is an uncond…

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 $\sum_{γ} γ^{- i τ}$ , where the summation is over the ordinates of the nontrivial zeros $ρ = β + iγ$ …

math.NT2020

Discrete Moments of the Riemann Zeta-Function near $σ = 1$

Athanasios Sourmelidis

We employ mean value estimates of Weyl sums in order to obtain discrete second moments of the Riemann Zeta-function with respect to polynomials near the vertical line $1+i\mathbb{R…

Joint extreme values of L-functions on and off the critical line

The Lindelöf Hypothesis for Zeta Zero Ordinates

Discrete Moments of the Riemann Zeta-Function near σ=1

Joint extreme values of $L$ -functions on and off the critical line

Discrete Moments of the Riemann Zeta-Function near $σ = 1$