Ratios of Regulators in Extensions of Number Fields

DOI10.2307/2159918zbMath0791.11055OpenAlexW4244655900MaRDI QIDQ3142831

Antone Costa, Eduardo C. Friedman

Publication date: 2 January 1994

Full work available at URL: https://doi.org/10.2307/2159918

zbMATH Keywords

discriminantfinite extensionregulatorsrelative units

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)

Related Items (5)

Independent relative units of low height ⋮ Lower bounds for regulators of number fields in terms of their discriminants ⋮ Minkowski's theorem on independent conjugate units ⋮ Heights, regulators and Schinzel’s determinant inequality ⋮ Anne-Marie Bergé -- in memoriam (1939--2008)

Cites Work

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• An inequality relating the regulator and the discriminant of a number field
• Analytic formulas for the regulator of a number field
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• Ratios of regulators in totally real extensions of number fields
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Notions relatives de régulateurs et de hauteurs

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