On the period of the continued fraction expansion of \(\sqrt{2^{2n+1}+1}\)

DOI10.1016/S0019-3577(05)80012-6zbMath1135.11005arXivmath/0401341OpenAlexW35686499MaRDI QIDQ555944

Florian Luca, Yann Bugeaud

Publication date: 10 June 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401341

zbMATH Keywords

periodicityregular continued fraction expansionssquare roots of power sums

Mathematics Subject Classification ID

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

Related Items (4)

Approximation of values of algebraic elements over the ring of power sums ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Some arithmetical properties of convergents to algebraic numbers ⋮ On the evolution of continued fractions in a fixed quadratic field

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• On some problems of the arithmetical theory of continued fractions II
• On the least solution of Pell’s equation

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