Lethbridge Number Theory & Combinatorics Seminar - HA TRAN, University of Calgary

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Lethbridge Number Theory and Combinatorics Seminar



February 12, 2018






Ha Tran (University of Calgary)



University of Lethbridge



Reduced Ideals from the Reduction Algorithm


Description (in plain text format):

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:

Location: B543 University Hall

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


Room or Area: 


Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | http://www.uleth.ca/artsci/math-computer-science

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