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math.NT2017
Note sur les lois locales conjointes de la fonction nombre de facteurs premiers
Gérald Tenenbaum
Let and let denote distinct irreducible polynomials with integer coefficients. We show that, for vectors with coordinates not exceedin…
math.NT2017
Inégalité de Turán-Kubilius friable et indépendance asymptotique
Régis de la Bretèche, Youness Lamzouri, Gérald Tenenbaum
Elaborating on previous works and taking advantage of estimates on the local behaviour of the counting function of friable integers, we determine the optimal range in which the fri…