On the probability distribution of the gcd and lcm of $r$-tuples of integers

Abstract

This paper is devoted to the study of statistical properties of the greatest common divisor and the least common multiple of random samples of positive integers.

References in corpus (2)

• Asymptotic normality and greatest common divisors
• Equidistribution and coprimality

Cited by in corpus (7)

• On the least common multiple of several random integers
• Asymptotic normality and greatest common divisors
• Equidistribution and coprimality
• A Brownian weak limit for the least common multiple of a random m-tuple of integers
• Limit Theorems for Empirical Density of Greatest Common Divisors
• On the reciprocal sum of lcm of k-tuples
• Errata and Addenda to Mathematical Constants