On the diophantine equation \(An!+Bm!=f(x,y)\)

Erd\"os and Obláth proved that the equation \(n!\pm m!=x^p\) has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that \(P(x)=An!+Bm!\) has finitely many integer solutions for polynomials of degree \(\geq 3\). For certain polynomials of degree \(\geq 2\)...

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Veröffentlicht in:	arXiv.org 2023-09
1. Verfasser:	Novaković, Saša
Format:	Artikel
Sprache:	eng
Schlagworte:	Diophantine equation Integers Polynomials
Online-Zugang:	Volltext
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