Linear-fractional invariance of multidimensional continued fractions

DOI10.1007/s10958-018-4033-4zbMath1411.11069OpenAlexW2892235275MaRDI QIDQ1992029

V. G. Zhuravlev

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4033-4

zbMATH Keywords

best approximationmultidimensional continued fractionsFarey sums

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fraction calculations (number-theoretic aspects) (11Y65) Metric theory of continued fractions (11K50) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Approximation to algebraic numbers (11J68)

Related Items (1)

Matrix-fractional invariance of Diophantine systems of linear forms

Cites Work

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• Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm
• Simplex-karyon algorithm of multidimensional continued fraction expansion
• The three-dimensional Poincaré continued fraction algorithm
• On some symmetric multidimensional continued fraction algorithms

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