In this paper, we discuss some relations between zeros of Lucas–Lehmer polynomials and the Gray code. We study nested square roots of 2 applying a “binary code” that associates bits 0 and 1 to “plus” and “minus” signs in the nested form. This gives the possibility to obtain an ordering for the zeros of Lucas–Lehmer polynomials, which take the form of nested square roots of 2.
Ordering of nested square roots of 2 according to the Gray code / Vellucci, Pierluigi; Bersani, Alberto Maria. - In: RAMANUJAN JOURNAL. - ISSN 1382-4090. - STAMPA. - 45:1(2018), pp. 197-210. [10.1007/s11139-016-9862-5]
Ordering of nested square roots of 2 according to the Gray code
VELLUCCI, PIERLUIGI
;BERSANI, Alberto Maria
2018
Abstract
In this paper, we discuss some relations between zeros of Lucas–Lehmer polynomials and the Gray code. We study nested square roots of 2 applying a “binary code” that associates bits 0 and 1 to “plus” and “minus” signs in the nested form. This gives the possibility to obtain an ordering for the zeros of Lucas–Lehmer polynomials, which take the form of nested square roots of 2.File allegati a questo prodotto
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