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arxiv: 1708.04595 · v1 · pith:UISFBKTZnew · submitted 2017-08-15 · 🧮 math.NT

In\'egalit\'e de Tur\'an-Kubilius friable et ind\'ependance asymptotique

classification 🧮 math.NT
keywords friablean-kubiliusadvantageasymptotiquebehaviourconstantcountingdetermine
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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 friable Tur\'an-Kubilius constant tends to $1$.

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