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Approximation of quadratic irrationals and their pierce expansions
Paradís, Jaume; Bibiloni, Lluís; Viader, Pelegrí
Universitat Pompeu Fabra. Departament d'Economia i Empresa
In this article two aims are pursued: on the one hand, to present arapidly converging algorithm for the approximation of square roots; on theother hand and based on the previous algorithm, to find the Pierce expansionsof a certain class of quadratic irrationals as an alternative way to themethod presented in 1984 by J.O. Shallit; we extend the method to findalso the Pierce expansions of quadratic irrationals of the form $2 (p-1)(p - \sqrt{p^2 - 1})$ which are not covered in Shallit's work.
Statistics, Econometrics and Quantitative Methods
quadratic irrationals
pierce series
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