pith. sign in

arxiv: 1710.00613 · v1 · pith:4GEVKQF4new · submitted 2017-10-02 · 🧮 math.NT

On a particular hyperquadratic continued fraction in F(p) with p>2

classification 🧮 math.NT
keywords continuedfractionalgebraiccoefficientsfieldgivenparticularclose
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.