Affiliation:
1. Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049-Madrid, Spain
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 Fréchet distribution. We also consider r-tuples instead of pairs, and moments other than the average.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
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