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An Extension of the Dirichlet Density for Sets of Gaussian Integers |
Canad. Math. Bull. 56(2013), 161-172
Published:2011-08-03
Printed: Mar 2013
Printed: Mar 2013
- L. C. Rêgo,
- R. J. Cintra,
Abstract
Several measures for the density of sets of integers have been proposed,
such as the asymptotic density, the Schnirelmann density, and the Dirichlet density. There has been some work in the literature on extending some of these concepts of density to higher dimensional sets of integers. In this work, we propose an extension of the Dirichlet density for sets of Gaussian integers and
investigate some of its properties.
| Keywords: | Gaussian integers, Dirichlet density |
| MSC Classifications: |
11B05 - Density, gaps, topology 11M99 - None of the above, but in this section 11N99 - None of the above, but in this section |