Localized Pisot matrices and joint approximations of algebraic numbers

DOI10.1007/s10958-018-4035-2zbMath1420.11099OpenAlexW2890257309MaRDI QIDQ1992031

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/s10958-018-4035-2

zbMATH Keywords

multidimensional continued fractionsexpansion of algebraic numberslocalized Pisot matricessimplex-module algorithm

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory of continued fractions (11K50)

Related Items (3)

Diophantine approximations of linear forms ⋮ \(\mathcal{L}\)-algorithm for approximation of Diophantine systems of linear forms ⋮ Matrix-fractional invariance of Diophantine systems of linear forms

Cites Work

• 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
• Best simultaneous Diophantine approximations and multidimensional continued fraction expansions
• On some symmetric multidimensional continued fraction algorithms
• Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Localized Pisot matrices and joint approximations of algebraic numbers