Athanasios Sourmelidis

activity

20202026

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Showing 2023 · math.NTShow all

4 papers · 2 filters

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…

math.NT2023

Discrete $Ω$ -results for the Riemann zeta function

Paolo Minelli, Athanasios Sourmelidis

We study lower bounds for the Riemann zeta function $ζ (s)$ along vertical arithmetic progressions in the right-half of the critical strip. We show that the lower bounds obtained in…

math.NT2023

Continuous and discrete universality of zeta-functions: Two sides of the same coin?

Athanasios Sourmelidis

In 1975 Voronin proved the universality theorem for the Riemann zeta-function $ζ (s)$ which roughly says that any admissible function $f (s)$ is approximated by $ζ (s)$ . A few years l…

math.NT2023

Spirals of Riemann's Zeta-Function --Curvature, Denseness, and Universality--

Athanasios Sourmelidis, Jörn Steuding

This article deals with applications of Voronin's universality theorem for the Riemann zeta-function $ζ$ . Among other results we prove that every plane smooth curve appears up to a…

Notes on Universality in Short Intervals and Exponential Shifts

Discrete Ω-results for the Riemann zeta function

Continuous and discrete universality of zeta-functions: Two sides of the same coin?

Spirals of Riemann's Zeta-Function --Curvature, Denseness, and Universality--

Discrete $Ω$ -results for the Riemann zeta function