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arXiv · 1403.0775

On distinct unit generated fields that are totally complex

Daniel Dombek·Zuzana Masáková·Volker Ziegler
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Abstract

We consider the problem of characterizing all number fields $K$ such that all algebraic integers $\alpha\in K$ can be written as the sum of distinct units of $K$. We extend a method due to Thuswaldner and Ziegler that previously did not work for totally complex fields and apply our results to the case of totally complex quartic number fields.

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Daniel Dombek, Zuzana Masáková, Volker Ziegler. 2014-03-04. On distinct unit generated fields that are totally complex. https://arxiv.org/abs/1403.0775

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