On the Diophantine equation x3=dy2±q6
Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006445 |
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| _version_ | 1832561826833891328 |
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| author | Fadwa S. Abu Muriefah |
| author_facet | Fadwa S. Abu Muriefah |
| author_sort | Fadwa S. Abu Muriefah |
| collection | DOAJ |
| description | Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24). |
| format | Article |
| id | doaj-art-34aea74b4fe042d99619b07823349dc5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-34aea74b4fe042d99619b07823349dc52025-02-03T01:24:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128849349710.1155/S0161171201006445On the Diophantine equation x3=dy2±q6Fadwa S. Abu Muriefah0Mathematics Department, Girls College of Education, Riyadh, Saudi ArabiaLet q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).http://dx.doi.org/10.1155/S0161171201006445 |
| spellingShingle | Fadwa S. Abu Muriefah On the Diophantine equation x3=dy2±q6 International Journal of Mathematics and Mathematical Sciences |
| title | On the Diophantine equation x3=dy2±q6 |
| title_full | On the Diophantine equation x3=dy2±q6 |
| title_fullStr | On the Diophantine equation x3=dy2±q6 |
| title_full_unstemmed | On the Diophantine equation x3=dy2±q6 |
| title_short | On the Diophantine equation x3=dy2±q6 |
| title_sort | on the diophantine equation x3 dy2 q6 |
| url | http://dx.doi.org/10.1155/S0161171201006445 |
| work_keys_str_mv | AT fadwasabumuriefah onthediophantineequationx3dy2q6 |