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Type: Article
ON THE DIOPHANTINE EQUATION f(n) = u! v!
Abstract:
In this paper, we show under the abc conjecture that the Diophantine equation f(x) = u!+v! has only finitely many integer solutions (x, u, v) whenever f (X) is an element of Q[X] is a polynomial of degree at least three.
In this paper, we show under the abc conjecture that the Diophantine equation f(x) = u!+v! has only finitely many integer solutions (x, u, v) whenever f (X) is an element of Q[X] is a polynomial of degree at least three.
MSC: 11D85
Journal: Glasnik Matematicki
ISSN: 0017-095X
Year: 2013
Volume: 48
Number: 1
Pages: 31-48
Created: 2013-07-22 10:53:20
Modified: 2014-02-04 11:44:04
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