Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Ziller, Mario"'
Autor:
Ziller, Mario
We pursue the question how integers can be ordered or partitioned according to their divisibility properties. Based on pseudometrics on $\mathbb{Z}$, we investigate induced preorders, associated equivalence relations, and quotient sets. The focus is
Externí odkaz:
http://arxiv.org/abs/2310.15628
Autor:
Ziller, Mario
We consider the ordered sequence of coprimes to a given primorial number and investigate differences between consecutive elements. The Jacobsthal function applied to the concerning primorial turns out to represent the greatest of these differences. W
Externí odkaz:
http://arxiv.org/abs/2007.01808
Autor:
Ziller, Mario
Jacobsthal's conjecture has been disproved by counterexample a few years ago. We continue to verify this conjecture on a larger scale. For this purpose, we implemented an extension of the Greedy Permutation Algorithm and computed the maximum Jacobsth
Externí odkaz:
http://arxiv.org/abs/1903.11973
Autor:
Ziller, Mario, Morack, John F.
Jacobsthal's function was recently generalised for the case of paired progressions. It was proven that a specific bound of this function is sufficient for the truth of Goldbach's conjecture and of the prime pairs conjecture as well. We extended and a
Externí odkaz:
http://arxiv.org/abs/1706.03668
Autor:
Ziller, Mario, Morack, John F.
We investigate progressions in the set of pairs of integers $\mathbb{Z}^2$ and define a generalisation of the Jacobsthal function. For this function, we conjecture a specific upper bound and prove that this bound would be a sufficient condition for t
Externí odkaz:
http://arxiv.org/abs/1706.00317
Autor:
Ziller, Mario, Morack, John F.
The Jacobsthal function has aroused interest in various contexts in the past decades. We review several algorithmic ideas for the computation of Jacobsthal's function for primorial numbers and discuss their practicability regarding computational effo
Externí odkaz:
http://arxiv.org/abs/1611.03310
Autor:
Schulz, Claudia, Ziller, Mario, Kampen, Helge, Gauly, Matthias, Beer, Martin, Grevelding, Christoph G., Hoffmann, Bernd, Bauer, Christian, Werner, Doreen
Publikováno v:
In Veterinary Parasitology 15 December 2015 214(3-4):272-281
Autor:
Fereidouni, Sasan R., Starick, Elke, Ziller, Mario, Harder, Timm C., Unger, Hermann, Hamilton, Keith, Globig, Anja
Publikováno v:
In Journal of Virological Methods 1 September 2015 221:62-67
Autor:
Dremsek, Paul, Joel, Sebastian, Baechlein, Christine, Pavio, Nicole, Schielke, Anika, Ziller, Mario, Dürrwald, Ralf, Renner, Christiane, Groschup, Martin H., Johne, Reimar, Krumbholz, Andi, Ulrich, Rainer G.
Publikováno v:
In Journal of Virological Methods June 2013 190(1-2):11-16
Autor:
Fereidouni, Sasan R., Harder, Timm C., Gaidet, Nicolas, Ziller, Mario, Hoffmann, Bernd, Hammoumi, Saliha, Globig, Anja, Starick, Elke
Publikováno v:
In Journal of Virological Methods December 2012 186(1-2):119-125