Small improvements to the Ball-Rivoal theorem and its $p$-adic variant

Li Lai

We prove that the dimension of the $\mathbb{Q}$-linear span of the Riemann zeta values $\zeta (3),\zeta (5),\dots ,\zeta (s-1)$ is at least $(1.119\cdot \log s)/(1+\log 2)$ for any sufficiently…