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The probability that two random integers are coprime

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  • Julien Bureaux
  • Nathanaël Enriquez

Abstract

An equivalence is proven between the Riemann hypothesis and the speed of convergence to 6/Ï€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.

Suggested Citation

  • Julien Bureaux & Nathanaël Enriquez, 2018. "The probability that two random integers are coprime," Mathematische Nachrichten, Wiley Blackwell, vol. 291(1), pages 24-27, January.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:1:p:24-27
    DOI: 10.1002/mana.201600526
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