Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators

DOI10.1134/S0001434610070035zbMath1287.11087arXiv0708.1604OpenAlexW2169004680MaRDI QIDQ650250

Oleg N. Karpenkov

Publication date: 25 November 2011

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

Full work available at URL: https://arxiv.org/abs/0708.1604

zbMATH Keywords

geometric continued fractionhyperbolic integer operatorperiod of a geometric continued fractionsail of an integer operator

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (3)

Generalised Markov numbers ⋮ Generalized Perron identity for broken lines ⋮ Continued fraction approach to Gauss reduction theory

Cites Work

• Unnamed Item
• Continued fractions, modular symbols, and noncommutative geometry
• On the statistics of partial quotients of finite continued fractions
• On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities
• Length of period of simple continued fraction expansion of \(\sqrt d\)
• Elementary notions of lattice trigonometry

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