<abstract xmlns="http://www.w3.org/1999/xhtml"> We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y. </abstract>

We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.

On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the Diophantine Equation x – kxy + ky + ly = 0, l = 2

We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x...

On the Diophantine Equation x² – kxy + ky² + ly = 0, l = 2ⁿ

Published Online: Sep 02, 2017

Page range: 115 - 118

Received: Jul 12, 2016

Accepted: Jan 11, 2017

DOI: https://doi.org/10.1515/awutm-2017-0008

Keywords
Diophantine Equations

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n

Published Online: Sep 02, 2017

Page range: 115 - 118

Received: Jul 12, 2016

Accepted: Jan 11, 2017

DOI: https://doi.org/10.1515/awutm-2017-0008

KeywordsDiophantine Equations

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the Diophantine Equation x² – kxy + ky² + ly = 0, l = 2ⁿ

Keywords
Diophantine Equations