Sequences of density zeta(k) - 1

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At a social gathering of mathematicians, Herb Wilf noted that the numbers $ζ(k) - 1$ sum to 1, and challenged the assembly to interpret the sequence as probabilities in some interesting number theoretic context. This short note provides one such interpretation.
7 pages, no figures v2: Corrected typos on page 6 after receiving comments

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Number Theory, 11B05

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http://salesiana.dossiersoluciones.com/handle/123456789/231330

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.3765
 http://arxiv.org/abs/0905.3765

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arXiv