Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593668 | Journal of Number Theory | 2015 | 17 Pages |
Abstract
We consider the problem of characterizing all number fields K such that all algebraic integers 뱉K can be written as the sum of distinct units of K. We extend a method due to Thuswaldner and Ziegler [12] that previously did not work for totally complex fields and apply our results to the case of totally complex quartic number fields.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Dombek, Zuzana Masáková, Volker Ziegler,