A method of finding an integral solution to x3 + y3 = kz4
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.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57284/1/A%20method%20of%20finding%20an%20integral%20solution%20to%20x3%20%2B%20y3%20%3D%20kz4.pdf http://psasir.upm.edu.my/id/eprint/57284/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
my.upm.eprints.57284 |
|---|---|
| record_format |
eprints |
| spelling |
my.upm.eprints.572842017-09-26T03:59:00Z http://psasir.upm.edu.my/id/eprint/57284/ A method of finding an integral solution to x3 + y3 = kz4 Zahari, N. M. Sapar, Siti Hasana Mohd Atan, Kamel Ariffin 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. American Institute of Physics 2010 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57284/1/A%20method%20of%20finding%20an%20integral%20solution%20to%20x3%20%2B%20y3%20%3D%20kz4.pdf 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). 10.1063/1.3525216 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| description |
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. |
| format |
Conference or Workshop Item |
| author |
Zahari, N. M. Sapar, Siti Hasana Mohd Atan, Kamel Ariffin |
| spellingShingle |
Zahari, N. M. Sapar, Siti Hasana Mohd Atan, Kamel Ariffin A method of finding an integral solution to x3 + y3 = kz4 |
| author_facet |
Zahari, N. M. Sapar, Siti Hasana Mohd Atan, Kamel Ariffin |
| author_sort |
Zahari, N. M. |
| title |
A method of finding an integral solution to x3 + y3 = kz4 |
| title_short |
A method of finding an integral solution to x3 + y3 = kz4 |
| title_full |
A method of finding an integral solution to x3 + y3 = kz4 |
| title_fullStr |
A method of finding an integral solution to x3 + y3 = kz4 |
| title_full_unstemmed |
A method of finding an integral solution to x3 + y3 = kz4 |
| title_sort |
method of finding an integral solution to x3 + y3 = kz4 |
| publisher |
American Institute of Physics |
| publishDate |
2010 |
| url |
http://psasir.upm.edu.my/id/eprint/57284/1/A%20method%20of%20finding%20an%20integral%20solution%20to%20x3%20%2B%20y3%20%3D%20kz4.pdf http://psasir.upm.edu.my/id/eprint/57284/ |
| _version_ |
1643836441624576000 |
| score |
13.214268 |