Work

A note on the Diophantine Equation x^2-kxy+ky^2+ly=0

Year: 2021

Type: article

Abstract: We investigate the Diophantine equation x^2 −kxy + ky^2 + ly = 0 for integers k and l with k even. We give a characterization of the positive solutions of this equation in terms of k and l. We also consider the same equation for other values of k and l.

Source: Mathematica

DOI: 10.24193/mathcluj.2021.2.01

Authors: Université Cheikh Anta Diop, Departement de Mathematiques, Dakar, Sénégal, Sakha A. Alkabouss, Boualem Benseba, Université des Sciences et de la technologie Houari Boumediene, LA3C, Faculté de Mathematiques, Algiers, Algeria, Nacira Berbara, Université des Sciences et de la technologie Houari Boumediene, LA3C, Faculté de Mathematiques, Algiers, Algeria, Simon Earp-Lynch, Florian Luca

Institutions: University of Sciences and Technology Houari Boumediene, University of the Witwatersrand, Max Planck Institute for Software Systems, Centro de Ciencias Matemáticas, Carleton University, Cheikh Anta Diop University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4200230425

FWCI: 0.348

Cites: 7

Cited by: 1

Related to: 10