An Erdös-Kac theorem for integers without large prime factors

DOI10.4064/aa-49-1-81-105zbMath0627.10030OpenAlexW980964842MaRDI QIDQ3030898

Krishnaswami Alladi

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/206072

zbMATH Keywords

limit distributionintegers free of large prime factorsadditive functionErdős-Kac theorem

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (11)

On the average distribution of divisors of friable numbers ⋮ The Erdős-Kac theorem for polynomials of several variables ⋮ The 8-rank of the narrow class group and the negative Pell equation ⋮ Smooth numbers and the Dickman \(\rho\) function ⋮ The distribution of sums and products of additive functions ⋮ The multiplication table for smooth integers ⋮ A pair of difference differential equations of Euler-Cauchy type ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ An Erd\H{o}s-Kac theorem for Smooth and Ultra-Smooth integers ⋮ On a class of differential-difference equations arising in number theory ⋮ Integers without large prime factors

This page was built for publication: An Erdös-Kac theorem for integers without large prime factors