The statistical properties of 3D Klein polyhedra

DOI10.1070/SM9263zbMath1446.11130OpenAlexW2986859445MaRDI QIDQ3304396

A. A. Illarionov

Publication date: 31 July 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9263

zbMATH Keywords

latticesmultidimensional continued fractionsKlein polyhedra

Mathematics Subject Classification ID

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

Cites Work

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• Interior Klein polyhedra
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• A-graded algebras and continued fractions
• Constructing multidimensional periodic continued fractions in the sense of Klein
• On a multidimensional generalization of Lagrange's theorem on continued fractions
• Distribution of facets of higher-dimensional Klein polyhedra
• Some properties of three-dimensional Klein polyhedra
• A multidimensional generalization of Heilbronn's theorem on the average length of a finite continued fraction
• Sails and norm minima of lattices
• Geometry of continued fractions

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