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The probability that two random integers are coprime
Author(s) -
Bureaux Julien,
Enriquez Nathanaël
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600526
Subject(s) - mathematics , coprime integers , equivalence (formal languages) , random variable , riemann hypothesis , distribution (mathematics) , probability distribution , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , statistics
An equivalence is proven between the Riemann hypothesis and the speed of convergence to 6 / π 2of the probability that two independent random variables following the same geometric distribution are coprime integers, when the parameter of the distribution goes to 0.