Glasnik matematički, Vol. 48 No. 1, 2013.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Factorials; polynomials; applications of the abc conjecture
Hrčak ID:
103268
URI
Datum izdavanja:
4.6.2013.
Posjeta: 887 *