English

Ramanujan-Bernoulli numbers as moments of Racah polynomials

Number Theory 2019-05-23 v1

Abstract

The classical sequence of Bernoulli numbers is known to the the sequence of moments of a family of orthogonal polynomials. Some similar statements are obtained for another sequence of rational numbers, which is similar in many ways to the Bernoulli numbers.

Keywords

Cite

@article{arxiv.1905.09012,
  title  = {Ramanujan-Bernoulli numbers as moments of Racah polynomials},
  author = {Frédéric Chapoton},
  journal= {arXiv preprint arXiv:1905.09012},
  year   = {2019}
}