The discriminant of a cyclic field of odd prime degree

DOI10.1216/rmjm/1181069946zbMath1074.11059OpenAlexW2024796529MaRDI QIDQ1430441

Blair K. Spearman, Kenneth S. Williams

Publication date: 27 May 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069946

zbMATH Keywords

discriminantcyclic field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09) Other abelian and metabelian extensions (11R20)

Related Items (3)

Integral trace form of extensions of degree pq ⋮ Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Normal integral bases for Emma Lehmer's parametric family of cyclic quintics

Cites Work

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• Note on a Polynomial of Emma Lehmer
• Multiplicites of Dihedral Discriminants
• 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
• Finding eisenstein elements in cyclic number fields of odd prime degree

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