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Continued -fractions with formal power series over finite fields
Journal article   Peer reviewed

Continued -fractions with formal power series over finite fields

M. Hbaib and R. Kammoun
The Ramanujan journal, Vol.39(1), pp.95-105
01/01/2016
DOI: https://doi.org/10.1007/s11139-015-9725-5

Abstract

Mathematics Physical Sciences Science & Technology
Let be a unit Pisot quadratic series over a finite field . We define and study a continued -fraction algorithm, inspired by Euclid's algorithm. We show that any element of has a finite continued -fraction whenever this expansion does not finish infinitely by polynomials of degree 1.

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