English

The denominators of the Bernoulli numbers

Number Theory 2021-11-02 v2

Abstract

We study the asymptotic density of the set of subscripts of the Bernoulli numbers having a given denominator. We also study the distribution of distinct Bernoulli denominators and some related problems.

Keywords

Cite

@article{arxiv.2105.13252,
  title  = {The denominators of the Bernoulli numbers},
  author = {Carl Pomerance and Samuel S. Wagstaff},
  journal= {arXiv preprint arXiv:2105.13252},
  year   = {2021}
}

Comments

15 pages. Some references added, notation simplified, results are the same