Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\)

DOI10.1007/BF02940787zbMath0820.11066MaRDI QIDQ1341262

S.-I. Yoshimoto, A. Takaku

Publication date: 14 September 1995

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

fundamental unitintegral basis

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16)

Cites Work

• Unnamed Item
• Zeros of the functions \(f(n) = \sum\limits_{i=0} (-1)^i {n-2i \choose i}\)
• On units of certain cubic number fields
• Fundamental units of certain algebraic number fields
• Pure cubic fields whose class numbers are multiples of three
• Minimal basis and inessential discriminant divisors for a cubic field
• Discriminants of number fields defined by trinomials
• Minimal bases for cubic fields
• Integral bases in algebraic number fields.
• Algebraic Number-Fields with two Independent Units

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