15 citations · 30 across the 14 of their papers we have counts for
14 papers
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…
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 …
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…
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…
Discrete -results for the Riemann zeta function
Paolo Minelli, Athanasios Sourmelidis
We study lower bounds for the Riemann zeta function along vertical arithmetic progressions in the right-half of the critical strip. We show that the lower bounds obtained in…
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 which roughly says that any admissible function is approximated by . A few years l…
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 . Among other results we prove that every plane smooth curve appears up to a…
The -points of the Riemann zeta-function and the functional equation
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmetrical form) and the -points of the zeta-function, i.e., the roots of the equa…
Riemann-Type Functional Equations -- Julia Line and Counting Formulae --
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
We study Riemann-type functional equations with respect to value-distribution theory and derive implications for their solutions. In particular, for a fixed complex number …
On the Vertical Distribution of Values of -functions in the Selberg Class
Athanasios Sourmelidis, Teerapat Srichan, Jörn Steuding
We prove explicit formulae for -points of -functions from the Selberg class. Next we extend a theorem of Littlewood on the vertical distribution of zeros of the Riemann zeta-…
Discrete Moments of the Riemann Zeta-Function near
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…
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter
Athanasios Sourmelidis, Jörn Steuding
We study the value-distribution of the Hurwitz zeta-function with algebraic irrational parameter . In particular, we prove effective denseness resu…
On the meromorphic continuation of Beatty Zeta-Functions and Sturmian Dirichlet series
Athanasios Sourmelidis
For a positive irrational number we study the ordinary Dirichlet series and $S_α(s) = \sum\limits_{n\geq1} (\left\lceilαn…
The Values of the Riemann Zeta-Function on Discrete Sets
Junghun Lee, Athanasios Sourmelidis, Jörn Steuding +1
We study the values taken by the Riemann zeta-function on discrete sets. We show that infinite vertical arithmetic progressions are uniquely determined by the values of tak…