In: Mathematica Slovaca, vol. 70, no. 5
Jhon J. Bravo - Jose L. Herrera
Detaily:
Rok, strany: 2020, 1057 - 1068
Kľúčové slová:
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
O článku:
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.
Ako citovať:
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
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 27. 9. 2020