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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… Click to show full 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.
Keywords:
numbers generalized;
pell sequences;
fibonacci numbers;
generalized pell
Journal Title: Mathematica Slovaca
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematica Slovaca
Year Published: 2020
Link to full text (if available)
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recommendations!