Séminaire Lotharingien de Combinatoire, B81b (2020), 13 pp.

Tanguy Rivoal and Wadim Zudilin

A Note on Odd Zeta Values

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(5), ζ(7), ..., ζ(69).

Received: September 13, 2018. Accepted: October 27, 2019.

The following versions are available: