Une nouvelle approche dans la théorie des entiers friables

Abstract : By a new approach starting with a residue computation we sharpen some of the known estimates for the counting function of friable integers. The gained accuracy reveals crucial for various applications, some of which concern fundamental questions in probabilistic number theory.
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Régis De La Bretèche, Gérald Tenenbaum. Une nouvelle approche dans la théorie des entiers friables. Compositio Mathematica, Foundation Compositio Mathematica, 2017, 153, pp.453-473. 〈10.1112/S0010437X16007806〉. 〈hal-01348147v3〉

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