Ordering of nested square roots of 2 according to Gray code

Pierluigi Vellucci; Alberto Maria Bersani

doi:10.1007/s11139-016-9862-5

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arXiv · 1604.00222

Ordering of nested square roots of 2 according to Gray code

Pierluigi Vellucci·Alberto Maria Bersani

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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 $0$ 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.

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BibTeX RIS

Pierluigi Vellucci, Alberto Maria Bersani. 2016-04-01. Ordering of nested square roots of 2 according to Gray code. https://doi.org/10.1007/s11139-016-9862-5

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