On the Diophantine equation

This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for n ≥ 2 and it is found that the integral solution of these equation are of the form a = b = t2, c = t3 for any integers t.

Bibliographic Details
Main Authors: Zahari, N. M., Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2012
Online Access:http://psasir.upm.edu.my/id/eprint/57329/
http://psasir.upm.edu.my/id/eprint/57329/1/On%20the%20Diophantine%20equation.pdf
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author Zahari, N. M.
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
author_facet Zahari, N. M.
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
author_sort Zahari, N. M.
building UPM Institutional Repository
collection Online Access
description This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for n ≥ 2 and it is found that the integral solution of these equation are of the form a = b = t2, c = t3 for any integers t.
first_indexed 2025-11-15T10:52:20Z
format Conference or Workshop Item
id upm-57329
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:52:20Z
publishDate 2012
publisher AIP Publishing LLC
recordtype eprints
repository_type Digital Repository
spelling upm-573292017-09-26T04:04:30Z http://psasir.upm.edu.my/id/eprint/57329/ On the Diophantine equation Zahari, N. M. Sapar, Siti Hasana Mohd Atan, Kamel Ariffin This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for n ≥ 2 and it is found that the integral solution of these equation are of the form a = b = t2, c = t3 for any integers t. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57329/1/On%20the%20Diophantine%20equation.pdf Zahari, N. M. and Sapar, Siti Hasana and Mohd Atan, Kamel Ariffin (2012) On the Diophantine equation. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 959-966). 10.1063/1.4801234
spellingShingle Zahari, N. M.
Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
On the Diophantine equation
title On the Diophantine equation
title_full On the Diophantine equation
title_fullStr On the Diophantine equation
title_full_unstemmed On the Diophantine equation
title_short On the Diophantine equation
title_sort on the diophantine equation
url http://psasir.upm.edu.my/id/eprint/57329/
http://psasir.upm.edu.my/id/eprint/57329/
http://psasir.upm.edu.my/id/eprint/57329/1/On%20the%20Diophantine%20equation.pdf