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Number Fields pp 158-181 | Cite as

The distribution of ideals in a number ring

  • Daniel A. Marcus
Part of the Universitext book series (UTX)

Abstract

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.

Keywords

Fundamental Domain Principal Ideal Free Abelian Group Ideal Class Coset Representative 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • Daniel A. Marcus
    • 1
  1. 1.Department of MathematicsCalifornia State Polytechnic UniversityPomonaUSA

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