Sequences of density zeta(k) - 1

2009/05/22 by William J. Keith, Keith, William J.
Mathematics · #11B05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Graph theory and applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0905.3765

openalex publication_date 2009/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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