PRIME DIVISORS ARE POISSON DISTRIBUTED-Reference-Cited by-同舟云学术

PRIME DIVISORS ARE POISSON DISTRIBUTED

Published:2007-03 Issue:01 Volume:03 Page:1-18
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

GRANVILLE ANDREW¹

Affiliation:

1. Départment de Mathématiques et Statistique, Université de Montréal, CP 6128 succ Centre-Ville, Montréal, Québec H3C 3J7, Canada

Abstract

We show that the set of prime factors of almost all integers are "Poisson distributed", and that this remains true (appropriately formulated) even when we restrict the number of prime factors of the integer. Our results have inspired analogous results about the distribution of cycle lengths of permutations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042107000778

Reference5 articles.

1. The intermediate prime divisors of integers

2. The sequences of prime divisors of integers

3. On the number of prime factors of an integer

4. A Rate Estimate in Billingsleys Theorem for the Size Distribution of Large Prime Factors

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