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In this paper, we find all the solutions of the Diophantine equation P +P m +P n = 2 a , in nonnegative integer variables (n, m, , a) where P k is the k-th term of the Pell sequence {P n } n≥0 given by P 0 = 0, P 1 = 1 and P n+1 = 2P n +P... more
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      Analytic Number TheoryPell Numbers
We use a generalization of an identity of Cesaro for deriving explicit bounds for the moduli of the zeros of a polynomial and we obtain a new bound involving binomial coefficients and Pell numbers. (~)
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      Applied MathematicsPell NumbersBinomial Coefficient