English

Nombres de Bernoulli et une formule de Ramanujan

Classical Analysis and ODEs 2007-11-14 v2

Abstract

In the first part we establish a connection between the Euler-Maclaurin summation formula and the Rota-Baxter functional equation. In the second part we give a simple proof of a formula, due to Ramanujan, on the summation of certain exponential series.

Keywords

Cite

@article{arxiv.0711.1592,
  title  = {Nombres de Bernoulli et une formule de Ramanujan},
  author = {Oleg Ogievetsky and Vadim Schechtman},
  journal= {arXiv preprint arXiv:0711.1592},
  year   = {2007}
}

Comments

27 pages

R2 v1 2026-06-21T09:42:08.876Z