학술논문
Asymptotic normality and greatest common divisors
Document Type
Working Paper
Author
Source
Int. J. Number Theory 11, No. 1, 89-126 (2015)
Subject
Language
Abstract
We report on some statistical regularity properties of greatest common divisors: for large random samples of integers, the number of coprime pairs and the average of the gcd's of those pairs are approximately normal, while the maximum of those gcd's (appropriately normalized) follows approximately a Fr\'echet distribution approximately. We also consider $r$-tuples instead of pairs, and moments other than the average.