A two-dimensional continued fraction algorithm for best approximations with an application in cubic number fields.

DOI10.1515/crll.1981.326.18zbMath0452.10034OpenAlexW254627546MaRDI QIDQ3898577

Arne J. Brentjes

Publication date: 1981

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002198592

zbMATH Keywords

best approximationsfundamental unitcubic number fieldtwo-dimensional continued fraction algorithm

Mathematics Subject Classification ID

Units and factorization (11R27) Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70) Cubic and quartic extensions (11R16)

Related Items (4)

Triangles in Diophantine approximation ⋮ A construction of higher-rank lattice rules ⋮ Best simultaneous Diophantine approximations and Lévy's theorem. ⋮ Complexity questions in number theory

This page was built for publication: A two-dimensional continued fraction algorithm for best approximations with an application in cubic number fields.