Glasnik matematički, Vol. 48 No. 1, 2013.
Original scientific paper
https://doi.org/10.3336/gm.48.1.03
On the Diophantine equation f(n)=u!+v!
Florian Luca
; Fundación Marcos Moshinsky, Universidad Nacional Autonoma de México, Circuito Exterior, C.U., Apdo. Postal 70-543, Mexico D.F. 04510, Mexico
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) Q[X] is a polynomial of degree at least three.
Keywords
Factorials; polynomials; applications of the abc conjecture
Hrčak ID:
103268
URI
Publication date:
4.6.2013.
Visits: 907 *