Units in some families of algebraic number fields

DOI10.1090/S0002-9947-03-03368-3zbMath1055.11065OpenAlexW1659132569MaRDI QIDQ4461187

L. Ya. Vulakh

Publication date: 29 March 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03368-3

zbMATH Keywords

symmetric spacescontinued fractionsfundamental units

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions and generalizations (11J70) Cubic and quartic extensions (11R16) Totally real fields (11R80)

Cites Work

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• Fundamental domains for the general linear group
• On totally real cubic fields whose unit groups are of type \(\{\theta + r,\theta + s\}\)
• The Markov spectra for triangle groups
• Klein polyhedrals for two cubic Davenport forms
• An Introduction to the Geometry of Numbers
• Class Numbers of the Simplest Cubic Fields
• A Family of Cyclic Quartic Fields Arising from Modular Curves
• The Simplest Cubic Fields
• Farey polytopes and continued fractions associated with discrete hyperbolic groups
• Exceptional units in a family of quartic number fields
• The Markov spectra for Fuchsian groups
• Continued Fractions Associated with SL₃(Z) and Units in Complex Cubic Fields
• Advanced Topics in Computional Number Theory
• On the product of three homogeneous linear forms
• On the Product of Three Homogeneous Linear Forms (II)
• Diophantine inequalities with an infinity of solutions