French translation for "abc conjecture"

conjecture abc

Example Sentences:

	1.	These approximations imply very profound assertions like the abc conjecture. Ces approximations ont des conséquences très profondes, comme la conjecture abc.
	2.	Overholt (1993) showed that there are only finitely many solutions provided that the abc conjecture is true. Overholt, en 1993, a montré qu'il n'y a qu'un nombre fini de solutions, à condition que la conjecture abc soit vraie.
	3.	Dabrowski (1996) generalized Overholt's result by showing that it would follow from the abc conjecture that n ! + A = k 2 {\displaystyle n!+A=k^{2}} has only finitely many solutions, for any given integer A. This result was further generalized by Luca (2002), who showed (again assuming the abc conjecture) that the equation n ! = P ( x ) {\displaystyle n!=P(x)} has only finitely many integer solutions for a given polynomial P(x) of degree at least 2 with integer coefficients. Dabrowski a généralisé le résultat d'Overholt en 1996 en montrant qu'il découlerait de la conjecture abc que n ! + A = k 2

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