Systèmes de points, diviseurs et structure fractale

DOI10.24033/bsmf.2207zbMath0787.11040OpenAlexW2519919990MaRDI QIDQ3136697

Gérald Tenenbaum, Michel Mendès France

Publication date: 20 October 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1993__121_2_197_0

zbMATH Keywords

Hausdorff dimensionfractal dimensionfractalsdivisorsdistribution of prime divisorsdistribution of typical integersstructure of sets of normalized divisors of integerssystems of points

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (4)

Phase transition in one-dimensional lattice gauge theories ⋮ A one-dimensional model with phase transition ⋮ Functional approach in the divisor distribution problems ⋮ Application of resampling and linear spline methods to spectral and dispersional analyses of long-memory processes

Cites Work

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• On the set of divisors of an integer
• On arithmetic functions related to consecutive divisors
• Sur la structure de la suite des diviseurs d'un entier. (On the structure of the séquence of divisors of an integer)
• On a result of R. R. Hall
• Lois de répartition des diviseurs. 4
• On the distribution function of additive functions
• Un problème de probabilité conditionnelle en arithmétique
• On the size of prime factors of integers
• A Brun-Titschmarsh theorem for multiplicative functions.

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