A note on odd zeta values

Tanguy Rivoal (1) , Wadim Zudilin

1 IF - Institut Fourier

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).

Domaines: Théorie des nombres [math.NT]

Tanguy Rivoal, Wadim Zudilin. A note on odd zeta values. Seminaire Lotharingien de Combinatoire, 2020, B81b, 13 p. ⟨hal-01726106⟩