English, Article, Journal or magazine article edition: Approximation of Quadratic Irrationals and their Pierce Expansions Jaume Paradís; Lluís Bibiloni; Pelegrí Viader

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Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Approximation of Quadratic Irrationals and their Pierce Expansions
Author
  • Jaume Paradís
  • Lluís Bibiloni
  • Pelegrí Viader
Physical Description
  • preprint
Notes
  • In this article two aims are pursued: on the one hand, to present a rapidly converging algorithm for the approximation of square roots; on the other hand and based on the previous algorithm, to find the Pierce expansions of a certain class of quadratic irrationals as an alternative way to the method presented in 1984 by J.O. Shallit; we extend the method to find also 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.
  • Quadratic irrationals, Pierce series
  • RePEc:upf:upfgen:171
Language
  • English
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