Periodic expansion of modules and its relation to units

DOI10.1016/0022-314X(82)90033-6zbMath0504.12012MaRDI QIDQ1835701

Harry Appelgate, Hironori Onishi

Publication date: 1982

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

zbMATH Keywords

continued fraction expansionfundamental unitssimilarity of irreducible integer matricestheorie der Netze

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions and generalizations (11J70) Minima of forms (11H50)

Related Items (6)

On principal ideal testing in algebraic number fields ⋮ Matrix zeros of quadratic equations ⋮ Caliber of a global field ⋮ The similarity problem for 3x3 integer matrices ⋮ The infrastructure of a global field of arbitrary unit rank ⋮ On the computation of units and class numbers by a generalization of Lagrange's algorithm

Cites Work

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• The similarity problem for 3x3 integer matrices
• The Jacobi-Perron algorithm its theory and application

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