Glasnik Matematicki, Vol. 43, No.2 (2008), 293-307.

THE ADDITIVE UNIT STRUCTURE OF COMPLEX BIQUADRATIC FIELDS

Volker Ziegler

Graz University of Technology, Institute for analysis and computational number theory, Steyrergasse 30, A-8010 Graz, Austria
e-mail: ziegler@finanz.math.tugraz.at

Abstract.   We determine which rings of the form Z[α] are generated by their units, where α is a root of the polynomial X4 - BX2 + D such that α and all its conjugates are complex.

2000 Mathematics Subject Classification.   11R16, 11R27, 11A67.

Key words and phrases.   Biquadratic fields, unit sum number.

Full text (PDF) (free access)

DOI: 10.3336/gm.43.2.05

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