A New Proof of a Conjecture of Antoniadis
We give a new and elementary proof that the equation x3−1=31y2 has only the integral solutions (x, y)=(1, 0), (5, 2), (5, −2).
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| Veröffentlicht in: | Journal of number theory 2000-08, Vol.83 (2), p.185-193 |
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| container_end_page | 193 |
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| container_issue | 2 |
| container_start_page | 185 |
| container_title | Journal of number theory |
| container_volume | 83 |
| creator | Cao, Zhenfu Mu, Shanzhi Dong, Xiaolei |
| description | We give a new and elementary proof that the equation x3−1=31y2 has only the integral solutions (x, y)=(1, 0), (5, 2), (5, −2). |
| doi_str_mv | 10.1006/jnth.1999.2489 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-314X |
| ispartof | Journal of number theory, 2000-08, Vol.83 (2), p.185-193 |
| issn | 0022-314X 1096-1658 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | cubic Diophantine equation Legendre–Jacobi symbol recurrence sequence |
| title | A New Proof of a Conjecture of Antoniadis |
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