On factorials which are products of factorials

• Autores: Florian Luca
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 533-542
• Idioma: inglés
• DOI: 10.1017/s0305004107000308
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• Resumen

  • In this paper, we look at the Diophantine equation (0.1) Under the ABC conjecture, we show that it has only finitely many nontrivial solutions. Unconditionally, we show that the set of n for which the above equation admits an integer solution a1,. . .,at is of asymptotic density zero.