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arxiv: 1603.01989 · v1 · pith:ISZ2PRW6new · submitted 2016-03-07 · 🧮 math.CA

The class of Lucas-Lehmer polynomials

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keywords polynomialssequencelucas-lehmerchebyshevclassfirstfollowimportant
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In this paper we introduce a new sequence of polynomials, which follow the same recursive rule of the well-known Lucas-Lehmer integer sequence. We show the most important properties of this sequence, relating them to the Chebyshev polynomials of the first and second kind.

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