An Extension of the Dirichlet Density for Sets of Gaussian Integers

作者：Rego L C^*; Cintra R J

来源：Canadian Mathematical Bulletin, 2013, 56(1): 161-172.

DOI：10.4153/CMB-2011-149-9

• Gaussian integers
• Dirichlet density

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.

• 出版日期2013-3