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

Sukrawan Mavecha

Sukrawan Mavecha

Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang,Bangkok, Thailand
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Mavecha, Sukrawan
  
Sep 02, 2017
On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n's Cover Image
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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
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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