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
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 language | English |
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Pages (from-to) | 1495-1512 |
Journal | Mathematics of Computation |
Volume | 83 |
Issue number | 287 |
Publication status | Published - 2014 |
Fields of Expertise
- Sonstiges
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)