Lengths of periods of continued fractions of square roots of integers

DOI10.1007/s11853-009-0031-xzbMath1208.11013OpenAlexW1987660240MaRDI QIDQ1035290

Vladimir I. Arnold

Publication date: 2 November 2009

Published in: Functional Analysis and Other Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11853-009-0031-x

zbMATH Keywords

Gauss-Kuzmin theoremodd period lengths of continued fractionsstatistics of continued fractions

Mathematics Subject Classification ID

Continued fractions (11A55) Metric theory of continued fractions (11K50)

Related Items (4)

The continued fractions of the square roots of integers: on the parity of the length of their period ⋮ Unnamed Item ⋮ Red numbers and quadratic field ⋮ Bounds on the period of the continued fraction after a Möbius transformation

Cites Work

• Statistics of the periods of continued fractions for quadratic irrationals

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