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arxiv: 1612.03700 · v1 · pith:MHMWD44Jnew · submitted 2016-12-12 · 🧮 math.PR

The probability that two random integers are coprime

classification 🧮 math.PR
keywords coprimedistributionintegersprobabilityrandomconvergenceequivalencefollowing
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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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