Skip to main navigation menu Skip to main content Skip to site footer

Complete solution of the exponential Diophantine equation $P_n^x+P_{n+1}^x=P_m^y$

Abstract

In this paper, we find all the solutions of the title Diophantine equation in positive integer variables $(m, n, x,y)$, where $P_k$ is the $k$th term of the Pell sequence.

Keywords

Pell numbers, Linear forms in logarithms, reduction methods

PDF

Supplementary File(s)

TeX

Author Biography

Alain Togbe

Professor