• On solutions of the diophantine equation $F_{n} − F_{m} = 3^{a}$

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/129/05/0081

• Keywords

Diophantine equation; lower bounds; logarithmic method

• Abstract

In this paper, we find non-negative ($n, m, a$) integer solutions of thediophantine equation $F_{n} − F_{m} = 3^{a}$, where $Fn$ and $Fm$ are Fibonacci numbers. For proving our theorem, we use lower bounds in linear forms.

• Author Affiliations

1. Department of Fundamental Sciences, Izmir Bakırçay University, Izmir, Turkey
2. Department of Mathematics, Sakarya University, Adapazarı, Turkey

• Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019