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arXiv · 1708.04595

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

Régis de la Bretèche·Youness Lamzouri·Gérald Tenenbaum
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Abstract

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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Régis de la Bretèche, Youness Lamzouri, Gérald Tenenbaum. 2017-08-15. In\'egalit\'e de Tur\'an-Kubilius friable et ind\'ependance asymptotique. https://arxiv.org/abs/1708.04595

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