A multidimensional generalization of Lagrange's theorem on continued fractions

DOI10.1134/S0001434612090039zbMath1273.11107OpenAlexW1984244884MaRDI QIDQ1929765

A. V. Bykovskaya

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612090039

zbMATH Keywords

integer latticeeigenconesimplicial conehyperbolic operatorKlein polyhedronsaileigenbasisLagrange's theorem on continued fractionssemiperiodic boundary

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70)

Related Items (2)

Distribution of facets of higher-dimensional Klein polyhedra ⋮ The statistical properties of 3D Klein polyhedra

Cites Work

• Higher dimensional analogues of periodic continued fractions and cusp singularities
• On a multidimensional generalization of Lagrange's theorem on continued fractions
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