The probability that two random integers are coprime
Probability
2016-12-13 v1
Abstract
An equivalence is proven between the Riemann Hypothesis and the speed of convergence to 1/zeta(2) of the probability that two independent random variables following the same geometric distribution are coprime integers, when the parameter of the distribution goes to 0.
Cite
@article{arxiv.1612.03700,
title = {The probability that two random integers are coprime},
author = {Julien Bureaux and Nathanaël Enriquez},
journal= {arXiv preprint arXiv:1612.03700},
year = {2016}
}