An Extension of the Dirichlet Density for Sets of Gaussian Integers
Number Theory
2019-08-15 v1 Computational Geometry
Classical Analysis and ODEs
Probability
Statistics Theory
Statistics Theory
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
Cite
@article{arxiv.1502.01866,
title = {An Extension of the Dirichlet Density for Sets of Gaussian Integers},
author = {L. C. Rêgo and R. J. Cintra},
journal= {arXiv preprint arXiv:1502.01866},
year = {2019}
}
Comments
13 pages, 1 figure