On the Exponential Diophantine Equation F n+ 1 x–F n–1 x= F my

CA Gómez, JC Gómez, F Luca - Taiwanese Journal of Mathematics, 2022 - JSTOR
1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 26, No. 4, pp. 685–712,
August 2022 DOI: 10.11650/tjm/220303 On the Exponential Diophantine Equation Fx n+1 − Fx …

On the Exponential Diophantine Equation

BK Patel, AP Chaves - Mediterranean Journal of Mathematics, 2021 - Springer
Let (F n) n≥ 0 be the Fibonacci sequence given by F n+ 2= F n+ 1+ F n for n≥ 0, where F 0=
0 and F 1= 1. In this paper, we explicitly find all solutions of the title Diophantine equation …

An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers

BK Patel, WC Teh - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
An Exponential Diophantine Equation Related to Powers of Three Consecutive Fibonacci
Numbers | Bulletin of the Malaysian Mathematical Sciences Society Skip to main content …

[PDF][PDF] Sum and Difference of Powers of Two Fibonacci Numbers

RJ Taclay - Computer Science, 2024 - researchgate.net
Let p be a prime number and let x, k> 1 be integers. We find all nonnegative integer
solutions (n, m, x, p, k) to the Diophantine equations Fx n±Fx m= pk for 0≤ m< n, where Fn …

On the Exponential Diophantine Equation

H Bensella, BK Patel, D Behloul - arXiv preprint arXiv:2205.13168, 2022 - arxiv.org
In this paper, we explicitly find all solutions of the title Diophantine equation, using lower
bounds for linear forms in logarithms and properties of continued fractions. Further, we use a …

Equações diofantinas envolvendo potências de termos de sequências recorrentes

APA Chaves - 2014 - icts.unb.br
Seja (fórmula) a sequência de Fibonacci dada por (fórmula) para (fórmula), onde (fórmula) e
(fórmula). Existem várias identidades interessantes envolvendo os termos desta sequência …

[引用][C] Equaçoes Diofantinas Envolvendo Potências de Termos de Sequências Recorrentes