The probability that two random integers are coprime
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2016
- DOI:
- 10.48550/arXiv.1612.03700
- arXiv:
- arXiv:1612.03700
- Bibcode:
- 2016arXiv161203700B
- Keywords:
-
- Mathematics - Probability