On the units of cubic and bicubic fields

DOI10.1007/BF02560000zbMath0585.12003MaRDI QIDQ3710601

Liang-Cheng Zhang

Publication date: 1985

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

tablesalgorithmfundamental unitpure cubic fieldsbicubic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Cubic and quartic extensions (11R16)

Cites Work

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• The determination of units in real cyclic sextic fields
• Class number formulae for bicubic fields
• On the fundamental unit for special infinite classes of purely cubic fields
• A rational genus, class number divisibility, and unit theory for pure cubic fields
• Remarks on principal factors in a relative cubic field
• On the fundamental unit of a purely cubic field
• Minimal basis and inessential discriminant divisors for a cubic field
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Zur Verallgemeinerung des Kettenbruchalgorithmus. II.
• Determining the Fundamental Unit of a Pure Cubic Field Given Any Unit
• Fundamental units from the perperiod of a generalized Jacobi-Perron algorithm.

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