On a particular hyperquadratic continued fraction in F(p) with p>2
Number Theory
2017-10-03 v1
Abstract
Given an odd prime number p, we describe a continued fraction in the field F(p) of power series in 1/T with coefficients in the finite field F_p, where T is a formal indeterminate. This continued fraction satisfies an algebraic equation of a particular type, with coefficients in F_p[T] which are explicitely given. We observe the close connection with other algebraic continued fractions studied thirty years ago by Mills and Robbins.
Cite
@article{arxiv.1710.00613,
title = {On a particular hyperquadratic continued fraction in F(p) with p>2},
author = {Alain Lasjaunias},
journal= {arXiv preprint arXiv:1710.00613},
year = {2017}
}