Paper #171
- Títol:
- Approximation of quadratic irrationals and their pierce expansions
- Autors:
- Jaume Paradís, Lluís Bibiloni i Pelegrí Viader
- Data:
- Juny 1996
- Resum:
- 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.
- Paraules clau:
- Quadratic irrationals, Pierce series
- Codis JEL:
- C00
- Àrea de Recerca:
- Estadística, Econometria i Mètodes Quantitatius
- Publicat a:
- The Fibonacci Quarterly, 36, 2, (1998), pp. 146-153
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