Applications of units

DOI10.1016/0022-314X(78)90031-8zbMath0391.12002MaRDI QIDQ1251252

Leon Bernstein

Publication date: 1978

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

zbMATH Keywords

AlgorithmCombinatorial IdentitiesDiophantine EquationJacobi-PerronTranscendental NumbersUnits in Algebraic Number Fields

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Units and factorization (11R27) Continued fractions (11A55) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

Some new combinatorial identities derived from units in algebraic number fields

Cites Work

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• Unabhängige Einheiten für die Körper \(K=Q (\root n \of {D^n \pm d})\) mit \(d/D^n\)
• Eine Formel für Grundeinheiten in reinen algebraischen Zahlkörpern dritten, vierten und sechsten Grades
• Der Hasse-Bernsteinsche Einheitensatz für den verallgemeinerten Jacobi- Perronschen Algorithmus
• Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper
• Truncated units in infinitely many algebraic number fields of degree \(n\geq 4\)
• An explicit formula for the units of an algebraic number field of degree \(n\geq2\)
• The Jacobi-Perron algorithm its theory and application
• The modified algorithm of Jacobi-Perron
• Infinite Non-Solubility Classes of the Delaunay-Nagell Diophantine Equation X ³ +my ³ = 1
• On units and fundamental units.

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