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On Squares in Lucas Sequences

preprint2013arXivOpen access
Francesca Balestrieri
math.NT
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Abstract

In this short paper, we prove, by only using elementary tools, general cases when Un(P,Q)≠□U_n(P,Q) \neq \square, where Un(P,Q)U_n(P,Q) is the Lucas sequence of the first type.

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