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)


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.


Fundamental Domain Principal Ideal Free Abelian Group Ideal Class Coset Representative 
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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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