English

A note on odd zeta values

Number Theory 2020-04-15 v1

Abstract

Using a new construction of rational linear forms in odd zeta values and the saddle point method, we prove the existence of at least two irrational numbers amongst the 33 odd zeta values ζ\zeta(5), ζ\zeta(7),. .. , ζ\zeta(69).

Keywords

Cite

@article{arxiv.1803.03160,
  title  = {A note on odd zeta values},
  author = {Tanguy Rivoal and Wadim Zudilin},
  journal= {arXiv preprint arXiv:1803.03160},
  year   = {2020}
}
R2 v1 2026-06-23T00:46:43.495Z