Positive solutions of the diophantine equation
Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000295 |
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| _version_ | 1832560887772217344 |
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| author | W. R. Utz |
| author_facet | W. R. Utz |
| author_sort | W. R. Utz |
| collection | DOAJ |
| description | Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1. |
| format | Article |
| id | doaj-art-a36ed266701d447696d763d88cecf22d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a36ed266701d447696d763d88cecf22d2025-02-03T01:26:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015231131410.1155/S0161171282000295Positive solutions of the diophantine equationW. R. Utz0Department of Mathematics, University of Missouri, Columbia 65211, MO, USAIntegral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.http://dx.doi.org/10.1155/S0161171282000295Diophantine equationcubicpositive solution. |
| spellingShingle | W. R. Utz Positive solutions of the diophantine equation International Journal of Mathematics and Mathematical Sciences Diophantine equation cubic positive solution. |
| title | Positive solutions of the diophantine equation |
| title_full | Positive solutions of the diophantine equation |
| title_fullStr | Positive solutions of the diophantine equation |
| title_full_unstemmed | Positive solutions of the diophantine equation |
| title_short | Positive solutions of the diophantine equation |
| title_sort | positive solutions of the diophantine equation |
| topic | Diophantine equation cubic positive solution. |
| url | http://dx.doi.org/10.1155/S0161171282000295 |
| work_keys_str_mv | AT wrutz positivesolutionsofthediophantineequation |