Affiliation:
1. Department of Mathematics , University of Cauca , Street 5 No. 4–70 , Popayán , Colombia
Abstract
Abstract
In this paper, by using lower bounds for linear forms in logarithms of algebraic numbers and the theory of continued fractions, we find all Fibonacci numbers that appear in generalized Pell sequences. Some interesting estimations involving generalized Pell numbers, that we believe are of independent interest, are also deduced. This paper continues a previous work that searched for Fibonacci numbers in the Pell sequence.
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