UPM Institutional Repository

A method of finding an integral solution to x3 + y3 = kz4


Citation

Zahari, N. M. and Sapar, Siti Hasana and Mohd Atan, Kamel Ariffin (2010) A method of finding an integral solution to x3 + y3 = kz4. In: International Conference on Mathematical Science (ICMS), 23-27 Nov. 2010, Bolu, Turkey. (pp. 842-845).

Abstract

In this article, we proved that an integral solution (a, b, c) to the equation x3+y3 = kz4 is of the form a = rs, b = rt for any two integers s, t and c =  (r3u/d3)1/4 for some u with (k,r) = d where k divides a3 + b3 and r is a common factor of a and b.


Download File

[img]
Preview
PDF (Abstract)
A method of finding an integral solution to x3 + y3 = kz4.pdf

Download (48kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.3525216
Publisher: American Institute of Physics
Keywords: Integral solution
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:59
Last Modified: 26 Sep 2017 03:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.3525216
URI: http://psasir.upm.edu.my/id/eprint/57284
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item