Distinct unit generated totally complex quartic fields

Lajos Hajdu, Volker Ziegler

Research output: Contribution to journalArticlepeer-review

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 with the property that every algebraic integer in K
is the sum of distinct units of K. In particular, we give a short list containing
all such fields
Original languageEnglish
Pages (from-to)1495-1512
JournalMathematics of Computation
Volume83
Issue number287
Publication statusPublished - 2014

Fields of Expertise

  • Sonstiges

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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