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Several measures for the density of sets of integers have been proposed, suchas the asymptotic density, the Schnirelmann density, and the Dirichlet density.There has been some work in the literature on extending some of these conceptsof density to higher dimensional sets of integers. In this work, we propose anextension of the Dirichlet density for sets of Gaussian integers andinvestigate some of its properties.

An Extension of the Dirichlet Density for Sets of Gaussian Integers