On the Diophantine equations $x^2-Dy^2=-1$ and $x^2-Dy^2=4$

On the Diophantine equations $x^2-Dy^2=-1$ and $x^2-Dy^2=4$

In this paper, using only the Störmer theorem and its generalizations on Pell's equation and fundamental properties of Lehmer sequence and the associated Lehmer sequence, we discuss the Diophantine equations $x^2-Dy^2=-1$ and $x^2-Dy^2=4$. We obtain the relation between a positive integer solut...

Full description

Bibliographic Details
Main Authors: Bingzhou Chen, Jiagui Luo
Format: Article
Language:English
Published: AIMS Press 2019-08-01
Series:AIMS Mathematics
Subjects:
Diophantine equations
Pell equations
minimal solutions
Lehmer sequences
Online Access:https://www.aimspress.com/article/10.3934/math.2019.4.1170/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2019.4.1170/fulltext.html

Similar Items