15 citations · 32 across the 6 of their papers we have counts for
6 papers
Are the Stieltjes constants irrational? Some computer experiments
Krzysztof D. Maslanka, Marek Wolf
Khnichin's theorem is a surprising and still relatively little known result. It can be used as a specific criterion for determining whether or not any given number is irrational. I…
Báez-Duarte's Criterion for the Riemann Hypothesis and Rice's Integrals
Krzysztof Maslanka
Criterion for the Riemann hypothesis found by Báez-Duarte involves certain real coefficients defined as alternating binomial sums. These coefficients can be effective…
Effective method of computing Li's coefficients and their properties
Krzysztof Maslanka
In this paper we present an effective method for computing certain real coefficients which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the…
Temporal evolution of radiation from a plasma blob with constant deceleration: application to gamma-ray bursts
S. Rys', K. Maslanka
It has been widely accepted that relativistic effects have to be used for modelling the wide classes of events associated with active galactic nuclei and galactic superluminal sour…
Hypergeometric-like Representation of the Zeta-Function of Riemann
Krzysztof Maslanka
We present a new expansion of the zeta-function of Riemann. The current formalism -- which combines both the idea of interpolation with constraints and the concept of hypergeometri…
Series Representation of the Modified Bessel Functions
Krzysztof Maslanka
Some power series representations of the modified Bessel functions (McDonald functions ) are derived using the relatively little known formalism of fractional derivatives. The…