On the residue classes of integer sequences satisfying a linear three term recurrence formula

DOI10.1016/J.LAA.2008.04.021zbMath1233.11006OpenAlexW2006940317MaRDI QIDQ932160

Takao Komatsu, Carsten Elsner

Publication date: 10 July 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.021

zbMATH Keywords

continued fractionsapproximation of irrational numberslinear three-term recurrencessequences mod \(m\)

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Sequences (mod (m)) (11B50) Homogeneous approximation to one number (11J04)

Related Items (2)

Four-term leaping recurrence relations ⋮ Linear fractional transformations and nonlinear leaping convergents of some continued fractions

Cites Work

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• Arithmetical properties of the leaping convergents of \(e^{1/s}\)
• A recurrence formula for leaping convergents of non-regular continued fractions
• Hurwitz continued fractions with confluent hypergeometric functions
• On arithmetic properties of the convergents of Euler's number

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