Irrationalite d'au moins un des neuf nombres zeta(5),zeta(7),...,zeta(21)

Abstract

We prove that there is at least one irrationnal among the nine numbers zeta(5), zeta(7),..., zeta(21).

arXiv comment13 pages, submitted to Acta Arithmetica

Cited by in corpus (2)

• Many odd zeta values are irrational
• On simultaneous diophantine approximations to $\zeta (2)$ and $\zeta (3)$