Lois de répartition des diviseurs, 1

DOI10.4064/aa-34-4-273-285zbMath0408.10035OpenAlexW2956481963MaRDI QIDQ4195038

François Dress, Gérald Tenenbaum, Jean-Marc Deshouillers

Publication date: 1979

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205609

zbMATH Keywords

Probabilistic Number TheoryDistribution of DivisorsSummation of Multiplicative Functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

Related Items (20)

On the arcsine law on divisors in arithmetic progressions ⋮ On the average distribution of divisors of friable numbers ⋮ Moments and equidistributions of multiplicative analogues of Kloosterman sums ⋮ Modeling the beta distribution using multiplicative functions ⋮ Natural divisors and the Brownian motion ⋮ Bivariate beta distribution and multiplicative functions ⋮ Dirichlet law for factorisation of integers, polynomials and permutations ⋮ Sur la structure de la suite des diviseurs d'un entier. (On the structure of the séquence of divisors of an integer) ⋮ DDT theorem over square-free numbers in short interval ⋮ The distribution law of divisors on a sequence of integers ⋮ The Selberg-Delange method in short intervals with some applications ⋮ Distribution laws of divisors of friable integers ⋮ Sur les processus arithmétiques liés aux diviseurs ⋮ The arcsine law on divisors in arithmetic progressions modulo prime powers ⋮ Lois de répartition des diviseurs. 4 ⋮ Distribution Laws of Smooth Divisors ⋮ Modeling the beta distribution in short intervals ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ Mean distribution law for the divisors of friable integers ⋮ On the second moment of an arithmetical process related to the natural divisors

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