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Preprints, Working Papers, ... Year : 2016

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.
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Dates and versions

hal-01413829 , version 1 (11-12-2016)

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Julien Bureaux, Nathanaël Enriquez. The probability that two random integers are coprime. 2016. ⟨hal-01413829⟩
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