Distinct unit generated totally complex quartic fields-Reference-Cited by-同舟云学术

Distinct unit generated totally complex quartic fields

Published:2013-07-30 Issue:287 Volume:83 Page:1495-1512
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Hajdu Lajos,Ziegler Volker

Abstract

The problem of characterization of rings whose elements can be expressed as sums of their units has a long history and is also of current interest. In this paper we take up the question of describing totally complex quartic number fields K K with the property that every algebraic integer in K K is the sum of distinct units of K K . In particular, we give a short list containing all such fields.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2014-83-287/S0025-5718-2013-02751-2/S0025-5718-2013-02751-2.pdf

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