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Arithmetical properties of the leaping convergents of \(e^{1/s}\)

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Publication:1890452
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DOI10.3836/tjm/1244208469zbMath1075.11004OpenAlexW2086690724MaRDI QIDQ1890452

Takao Komatsu

Publication date: 4 January 2005

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208469


zbMATH Keywords

exponential functioncontinued fractionscontractions


Mathematics Subject Classification ID

Continued fractions (11A55)


Related Items (8)

On Error Sum Functions for Approximations with Arithmetic Conditions ⋮ On convergents of certain values of hyperbolic functions formed from Diophantine equations ⋮ On the residue classes of integer sequences satisfying a linear three term recurrence formula ⋮ Approximation of values of hypergeometric functions by restricted rationals ⋮ A recurrence formula for leaping convergents of non-regular continued fractions ⋮ Four-term leaping recurrence relations ⋮ Shrinking the period length of quasi-periodic continued fractions ⋮ Linear fractional transformations and nonlinear leaping convergents of some continued fractions




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