MONOGENEITY IN CYCLOTOMIC FIELDS

DOI10.1142/S1793042110003666zbMath1211.11117MaRDI QIDQ3067879

Leanne Robertson

Publication date: 13 January 2011

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

zbMATH Keywords

power integral basiscyclotomic fields

Mathematics Subject Classification ID

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

Related Items (1)

On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields

Uses Software

• SageMath

Cites Work

• On the resolution of index form equations in biquadratic number fields. I
• Generators of the ring of integers of a cyclotomic extension
• On power bases in cyclotomic number fields
• Power bases for cyclotomic integer rings
• On the solution of units and index form equations in algebraic number fields
• Power integral bases in prime-power cyclotomic fields
• Power integral bases for real cyclotomic fields
• Computing all power integral bases in orders of totally real cyclic sextic number fields
• On the Cyclotomic Polynomial $Phi\{pq} (X)$
• Power bases for 2-power cyclotomic fields

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