A Diophantine system
It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000522 |
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| _version_ | 1849308533230665728 |
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| author | Andrew Bremner |
| author_facet | Andrew Bremner |
| author_sort | Andrew Bremner |
| collection | DOAJ |
| description | It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares. |
| format | Article |
| id | doaj-art-159b0c2ab76d41c78d2d5cb4e6c5e418 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-159b0c2ab76d41c78d2d5cb4e6c5e4182025-08-20T03:54:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019241341510.1155/S0161171286000522A Diophantine systemAndrew Bremner0Department of Mathematics, Arizona State University, Tempe 85287, Arizona, USAIt is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.http://dx.doi.org/10.1155/S0161171286000522Diophantine equationelliptic curve. |
| spellingShingle | Andrew Bremner A Diophantine system International Journal of Mathematics and Mathematical Sciences Diophantine equation elliptic curve. |
| title | A Diophantine system |
| title_full | A Diophantine system |
| title_fullStr | A Diophantine system |
| title_full_unstemmed | A Diophantine system |
| title_short | A Diophantine system |
| title_sort | diophantine system |
| topic | Diophantine equation elliptic curve. |
| url | http://dx.doi.org/10.1155/S0161171286000522 |
| work_keys_str_mv | AT andrewbremner adiophantinesystem AT andrewbremner diophantinesystem |