Jörn Steuding

activity

20232025

collaborators

3 papers

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.NT2024

Effective Weak Universality in Short Intervals

Saeree Wananiyakul, Jörn Steuding, Nithi Rungtanapirom

We prove an effective universality theorem of the Riemann zeta-function in short intervals $[T, T + H]$ with $T^{\frac{27}{82}} \leq H \leq T$ by following an effective multidimensional $…

math.NT2023

Notes on Universality in Short Intervals and Exponential Shifts

Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė +6

We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we pro…