In: Mathematica Slovaca, vol. 70, no. 5
Jhon J. Bravo - Jose L. Herrera
Details:
Year, pages: 2020, 1057 - 1068
Keywords:
Generalized Pell number, Fibonacci number, linear form in logarithms, reduction method.
This work was supported by Projects VRI ID 4689 (University of Cauca) and Colciencias 110371250560
About article:
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.
How to cite:
ISO 690:
Bravo, J., Herrera, J. 2020. Fibonacci numbers in generalized Pell sequences. In Mathematica Slovaca, vol. 70, no.5, pp. 1057-1068. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0413
APA:
Bravo, J., Herrera, J. (2020). Fibonacci numbers in generalized Pell sequences. Mathematica Slovaca, 70(5), 1057-1068. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0413
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 27. 9. 2020