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29 March 2024
 
  » arxiv » 1604.0222

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Ordering of nested square roots of 2 according to Gray code
Pierluigi Vellucci ; Alberto Maria Bersani ;
Date 1 Apr 2016
AbstractIn 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 $0$ and $1$ to $oplus$ and $ominus$ 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.
Source arXiv, 1604.0222
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