On a two-valued sequence and related continued fractions in power series fields
Number Theory
2017-03-16 v3
Abstract
We explicitly describe a noteworthy transcendental continued fraction in the field of power series over Q, having irrationality measure equal to 3. This continued fraction is a generating function of a particular sequence in the set {1, 2}. The origin of this sequence, whose study was initiated in a recent paper, is to be found in another continued fraction, in the field of power series over , which satisfies a simple algebraic equation of degree 4, introduced thirty years ago by D. Robbins.
Keywords
Cite
@article{arxiv.1607.07235,
title = {On a two-valued sequence and related continued fractions in power series fields},
author = {Bill Allombert and Nicolas Brisebarre and Alain Lasjaunias},
journal= {arXiv preprint arXiv:1607.07235},
year = {2017}
}