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

Mavecha, Sukrawan

doi:10.1515/awutm-2017-0008

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 55 (2017): Issue 1 (July 2017)

By: Sukrawan Mavecha

Open Access

|Sep 2017

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.

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