Distribution of units of a cubic field with negative discriminant

DOI10.1006/jnth.2001.2686zbMath1014.11067OpenAlexW2091622174MaRDI QIDQ5960972

Yoshiyuki Kitaoka

Publication date: 22 April 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2686

zbMATH Keywords

ray class fieldsdiscriminantcubic fieldsunit

Mathematics Subject Classification ID

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

Related Items (3)

The distribution of prime ideals in a real quadratic field with units having a given index in the residue class field. ⋮ Ray class field of prime conductor of a real quadratic field ⋮ Distribution of units of algebraic number fields with only one fundamental unit

Cites Work

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• A quadratic analogue of Artin's conjecture on primitive roots.
• Pure cubic fields whose class numbers are multiples of three
• On the distribution of units modulo prime ideals in real quadratic fields
• Distribution of units of real quadratic number fields
• On Artin's conjecture.

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