Sur l'inégalité de Turán-Kubilius friable
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Publication:3055604
DOI10.1515/CRELLE.2010.077zbMath1214.11109OpenAlexW2073914350MaRDI QIDQ3055604
Gérald Tenenbaum, Bruno Martin
Publication date: 8 November 2010
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crelle.2010.077
additive functionHilbert-Schmidt operatorfriable integersKubilius modelDickman functionTuran-Kubilius inequality
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) Arithmetic functions in probabilistic number theory (11K65)
Related Items
Constantes de Turán–Kubilius friables: une étude numérique ⋮ On the bias of a probability law for brittle integers ⋮ Une nouvelle approche dans la théorie des entiers friables ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ Jonas Kubilius and genesis of probabilistic number theory
Cites Work
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- Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor)
- An asymptotic formula for the variance of an additive function
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- Integers free of large prime factors and the Riemann hypothesis
- Functional analysis and additive arithmetic functions
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- Multivariate Diophantine equations with many solutions
