The probability that two random integers are coprime
  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. 
Julien Bureaux (MODAL'X), Nathana\"el Enriquez (MODAL'X, LPMA)
math.PR