5 citations · 8 across the 5 of their papers we have counts for
5 papers
Dirichlet Series with Periodic Coefficients and their Value-Distribution Near the Critical Line
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
The class of Dirichlet series associated with a periodic arithmetical function includes the Riemann zeta-function as well as Dirichlet -functions to residue class characters…
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-…
A Descent on Simple Graphs -- from Complete to Cycle -- and Algebraic Properties of Their Spectra
Katja Mönius, Jörn Steuding, Pascal Stumpf
We investigate a descent on simple graphs, starting with the complete graph on vertices and ending up with the cycle graph by removing one edge after another. We obtain quantit…
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…
The Least Prime Number in a Beatty Sequence
Jörn Steuding, Marc Technau
We prove an upper bound for the least prime in an irrational Beatty sequence. This result may be compared with Linnik's theorem on the least prime in an arithmetic progression.