Continued fraction algorithms and Lagrange's theorem in ${\mathbb Q}_p$
Number Theory
2017-01-18 v1 Dynamical Systems
Abstract
We present several continued fraction algorithms, each of which gives an eventually periodic expansion for every quadratic element of over and gives a finite expansion for every rational number. We also give, for each of our algorithms, the complete characterization of elements having purely periodic expansions.
Cite
@article{arxiv.1701.04615,
title = {Continued fraction algorithms and Lagrange's theorem in ${\mathbb Q}_p$},
author = {Asaki Saito and Jun-ichi Tamura and Shin-ichi Yasutomi},
journal= {arXiv preprint arXiv:1701.04615},
year = {2017}
}