English

Sequences of density zeta(k) - 1

Number Theory 2009-05-27 v2

Abstract

At a social gathering of mathematicians, Herb Wilf noted that the numbers ζ(k)1\zeta(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.

Keywords

Cite

@article{arxiv.0905.3765,
  title  = {Sequences of density zeta(k) - 1},
  author = {William J. Keith},
  journal= {arXiv preprint arXiv:0905.3765},
  year   = {2009}
}

Comments

7 pages, no figures v2: Corrected typos on page 6 after receiving comments

R2 v1 2026-06-21T13:05:10.776Z