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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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https://hal.archives-ouvertes.fr/hal-01413829
Contributor : Julien Bureaux <>
Submitted on : Sunday, December 11, 2016 - 3:22:09 PM
Last modification on : Friday, March 27, 2020 - 4:05:29 AM
Document(s) archivé(s) le : Tuesday, March 28, 2017 - 12:42:25 AM

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  • HAL Id : hal-01413829, version 1
  • ARXIV : 1612.03700

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

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