The distribution of ideals in a number ring
We are going to exploit the geometric methods of chapter 5 to establish results about the distribution of the ideals of a number ring R. In a sense to be made precise shortly, we will show that the ideals are approximately equally distributed among the ideal classes, and the number of ideals with ‖I‖ ≤ t, t ≥ 0, is approximately proportional to t.
KeywordsFundamental Domain Principal Ideal Free Abelian Group Ideal Class Coset Representative
Unable to display preview. Download preview PDF.