Normal integral bases for Emma Lehmer's parametric family of cyclic quintics

DOI10.5802/jtnb.443zbMath1158.11343OpenAlexW2163344799MaRDI QIDQ558193

Blair K. Spearman, Kenneth S. Williams

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2004__16_1_215_0

zbMATH Keywords

normal integral basisLehmer family of quintic fields

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Other abelian and metabelian extensions (11R20)

Related Items (2)

HT90 and ``simplest number fields ⋮ A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve

Cites Work

• Unnamed Item
• The discriminant of a cyclic field of odd prime degree
• Finding normal integral bases of cyclic number fields of prime degree
• Class numbers and units of E. Lehmer's cyclic quintic fields
• Quintic Polynomials and Real Cyclotomic Fields with Large Class Number
• Connection Between Gaussian Periods and Cyclic Units
• Power integral bases in a parametric family of totally real cyclic quintics

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