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Generalized Perron identity for broken lines

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Publication:2199491
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DOI10.5802/jtnb.1071zbMath1460.11097arXiv1708.07396OpenAlexW2969498577MaRDI QIDQ2199491

Matty van Son, Oleg N. Karpenkov

Publication date: 11 September 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07396


zbMATH Keywords

binary quadratic indefinite formgeometry of continued fractionsPerron identity


Mathematics Subject Classification ID

Markov and Lagrange spectra and generalizations (11J06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)


Related Items (4)

Generalised Markov numbers ⋮ Continued fraction approach to Gauss reduction theory ⋮ Palindromic sequences of the Markov spectrum ⋮ Conway river and Arnold sail



Cites Work

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  • Continued fractions and the second Kepler law
  • Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
  • On irrational lattice angles
  • Continued fractions, modular symbols, and noncommutative geometry
  • Elementary notions of lattice trigonometry
  • On the Product of Three Homogeneous Linear Forms (III)
  • Geometry of continued fractions


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