On power bases in cyclotomic number fields

DOI10.1016/0022-314X(88)90044-3zbMath0637.12001MaRDI QIDQ1098882

Andrew Bremner

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

integral generatorring of cyclotomic integers

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (10)

A characterization of polyharmonic functions ⋮ On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ Generators of the ring of integers of a cyclotomic extension ⋮ Multiplicative dependence of two integers shifted by a root of unity ⋮ Power integral bases in prime-power cyclotomic fields ⋮ Power integral bases for real cyclotomic fields ⋮ Power bases for 2-power cyclotomic fields ⋮ MONOGENEITY IN CYCLOTOMIC FIELDS ⋮ Power bases for cyclotomic integer rings ⋮ On the solution of units and index form equations in algebraic number fields

Cites Work

• Integral generators in a certain quartic field and related diophantine equations
• On the representation of integers by binary cubic forms of positive discriminant
• Sur les discriminants des nombres algébriques
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