Integers with a large friable component

Gérald Tenenbaum (1)

1 IECN - Institut Élie Cartan de Nancy

We provide sharp estimates for the number of integers not exceeding whose largest y-friable divisor exceeds z.

Mots clés: friable integers; sieve; asymptotic ditribution of integers with a multiplicative constraint; saddle-point method; asymptotic ditribution of integers with a multiplicative constraint.

Domaines: Théorie des nombres [math.NT]

Gérald Tenenbaum. Integers with a large friable component. Acta Arithmetica, 2006, 124, pp.287-291. ⟨10.4064/aa124-3-6⟩. ⟨hal-00091306v2⟩