Sur les processus arithmétiques liés aux diviseurs

DOI10.1017/apr.2016.42zbMath1423.11138OpenAlexW2494135995MaRDI QIDQ5197396

Régis de la Bretèche, Gérald Tenenbaum

Publication date: 23 September 2019

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/apr.2016.42

zbMATH Keywords

divisorsDirichlet lawsarc-sine lawarithmetic modelarithmetic process

Mathematics Subject Classification ID

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 (7)

Moments and equidistributions of multiplicative analogues of Kloosterman sums ⋮ Bivariate beta distribution and multiplicative functions ⋮ Dirichlet law for factorisation of integers, polynomials and permutations ⋮ Distribution laws of divisors of friable integers ⋮ La conjecture de Manin pour une famille de variétés en dimension supérieure ⋮ Distribution Laws of Smooth Divisors ⋮ THE POWER‐SAVING MANIN–PEYRE CONJECTURE FOR A SENARY CUBIC

Cites Work

• The probability theory of additive arithmetic functions
• Lois de répartition des diviseurs. 4
• Addendum to the paper of E. Manstavičius and M. N. Timofeev ``A functional limit theorem related to natural divisors
• A functional limit theorem related to natural divisors
• Natural divisors and the Brownian motion
• On the second moment of an arithmetical process related to the natural divisors
• A Bayesian analysis of some nonparametric problems
• Probabilistic Number Theory, the GEM/Poisson-Dirichlet Distribution and the Arc-sine Law
• On the DDT theorem
• Lois de répartition des diviseurs, 1
• Cesàro means related to the square of the divisor function
• Probabilistic methods in the theory of numbers
• On the number of positive sums of independent random variables
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