Norm-Euclidean Galois fields

Details Norm-Euclidean Galois fields Norm-Euclidean Galois fields

2010-11-19

arxiv.org/abs/1011.4501v2

Mathematics

Number Theory

Scientific paper

Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-Euclidean fields have been identified, but for $\ell\neq 2$, little else is known. We give the first upper bounds on the discriminants of such fields when $\ell>2$. Our methods lead to a simple algorithm which allows one to generate a list of candidate norm-Euclidean fields up to a given discriminant, and we provide some computational results.

Affiliated with

Also associated with

No associations

Rating

Norm-Euclidean Galois fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Norm-Euclidean Galois fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Norm-Euclidean Galois fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117924