Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Euclidean Ideals in Quadratic Imaginary Fields


Affiliations
1 Queen’s University, Kingston, Ontario-K7L 3N6, Canada
2 DePaul University, Chicago, IL 60604, United States
     

   Subscribe/Renew Journal


We classify all quadratic imaginary number fields that have a Euclidean ideal class. There are seven of them, they are of class number at most two, and in each case the unique class that generates the class-group is moreover norm-Euclidean.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 235

PDF Views: 0




  • Euclidean Ideals in Quadratic Imaginary Fields

Abstract Views: 235  |  PDF Views: 0

Authors

Hester Graves
Queen’s University, Kingston, Ontario-K7L 3N6, Canada
Nick Ramsey
DePaul University, Chicago, IL 60604, United States

Abstract


We classify all quadratic imaginary number fields that have a Euclidean ideal class. There are seven of them, they are of class number at most two, and in each case the unique class that generates the class-group is moreover norm-Euclidean.