Lethbridge Number Theory and Combinatorics Seminar: Ha Tran

  • Date: 02/12/2018
Ha Tran (University of Calgary)

University of Lethbridge


Reduced Ideals from the Reduction Algorithm


Reduced ideals of a number field F have inverses of small norms and they form a finite and regularly distributed set in the infrastructure of F. Therefore, they can be used to compute the regulator and the class number of a number field. One usually applies the reduction algorithm to find them. Ideals obtained from this algorithm are called 1-reduced. There exist reduced ideals that are not 1-reduced.

We will show that these ideals have inverses of larger norms among reduced ones. Especially, we represent a sufficient and necessary condition for reduced ideals of real quadratic fields to be obtained from the reduction algorithm.

Other Information: 

Time: 12:00-12:50pm

Location: B543 University Hall

Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/