Friable integers: Turán-Kubilius inequality and applications

DOI10.1007/s00222-004-0379-yzbMath1182.11045OpenAlexW1674836935WikidataQ106092457 ScholiaQ106092457MaRDI QIDQ1770270

Gérald Tenenbaum, Régis de la Bretèche

Publication date: 14 April 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0379-y

zbMATH Keywords

smooth integersTurán-Kubilius inequalityvariance of additive functionsErdoes-Wintner theorem

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (15)

Multiplicative functions, exponential sums and the law of large numbers ⋮ On the average distribution of divisors of friable numbers ⋮ Constantes de Turán–Kubilius friables: une étude numérique ⋮ On the bias of a probability law for brittle integers ⋮ On the friable mean-value of the Erdős-Hooley delta function ⋮ Une nouvelle approche dans la théorie des entiers friables ⋮ Distribution laws of divisors of friable integers ⋮ Friable exponential sums with rational arguments ⋮ The maximum size of short character sums ⋮ Sur l'inégalité de Turán-Kubilius friable ⋮ Sur l'inégalité de Turán–Kubilius friable ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ An Erd\H{o}s-Kac theorem for Smooth and Ultra-Smooth integers ⋮ Statistical properties of friable integers ⋮ Mean distribution law for the divisors of friable integers

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