On the period of the continued fraction for values of the square root of power sums
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Publication:3414066
DOI10.4064/aa123-4-1zbMath1170.11004arXivmath/0405390OpenAlexW2092920885MaRDI QIDQ3414066
Publication date: 5 January 2007
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405390
Recurrences (11B37) Continued fractions and generalizations (11J70) Diophantine inequalities (11J25) Schmidt Subspace Theorem and applications (11J87)
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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 period of the continued fraction expansion of \(\sqrt{2^{2n+1}+1}\)
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