Ordering of nested square roots of 2 according to Gray code
Number Theory
2017-02-20 v1
Abstract
In this paper we discuss some relations between zeros of Lucas-Lehmer polynomials and Gray code. We study nested square roots of 2 applying a "binary code" that associates bits and to and signs in the nested form. This gives the possibility to obtain an ordering for the zeros of Lucas-Lehmer polynomials, which assume the form of nested square roots of 2.
Cite
@article{arxiv.1604.00222,
title = {Ordering of nested square roots of 2 according to Gray code},
author = {Pierluigi Vellucci and Alberto Maria Bersani},
journal= {arXiv preprint arXiv:1604.00222},
year = {2017}
}