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| Home > Articles > Published articles > On the diophantine equation xp - x = yq - y |
| Date: | 1999 |
| Abstract: | We consider the diophantine equation xp - x = yq - y, in integers (x, p, y, q). We prove that for given p and q with 2 [less than or equal] p < q (*) has only finitely many solutions. Assuming the abc-conjecture we can prove that p and q are bounded. In the special case p = 2 and y a prime power we are able to solve (*) completely. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 43 N. 1 (1999) , p. 207-216, ISSN 2014-4350 |
