A natural probabilistic model on the integers and its relation to Dickman-type distributions and Buchstab's function

DOI10.1007/978-3-030-15338-0_10zbMath1430.60029arXiv1606.02965OpenAlexW2963631084MaRDI QIDQ2290667

Ross G. Pinsky

Publication date: 29 January 2020

Full work available at URL: https://arxiv.org/abs/1606.02965

zbMATH Keywords

prime numberDickman function\(k\)-free numbersBuchstab functionDickman-type distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Distribution of integers with specified multiplicative constraints (11N25) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

Convergence to scale-invariant Poisson processes and applications in Dickman approximation ⋮ On strong and almost sure local limit theorems for a probabilistic model of the Dickman distribution ⋮ Dickman approximation in simulation, summations and perpetuities

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