32 citations · 56 across the 12 of their papers we have counts for
13 papers
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…
Sums of Consecutive Prime Squares
Janyarak Tongsomporn, Saeree Wananiyakul, Jörn Steuding
We prove explicit bounds for the number of sums of consecutive prime squares below a given magnitude.
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 …
Value-Distribution of the Riemann Zeta-Function along its Julia Lines
Jörn Steuding, Ade Irma Suriajaya
For an arbitrary complex number we consider the distribution of values of the Riemann zeta-function at the -points of the function which appears in the functio…
On primeness of the Selberg zeta-function
Ramūnas Garunkštis, Jörn Steuding
In this note we prove that the Selberg zeta-function associated to a compact Riemann surface is pseudo-prime and right-prime in the sense of a decomposition.
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…