At least two of $\zeta (5),\zeta (7),\dots ,\zeta (35)$ are irrational

Li Lai, Li Zhou

Let $\zeta (s)$ be the Riemann zeta function. We prove the statement in the title, which improves a recent result of Rivoal and Zudilin by lowering $69$ to $35$. We also prove that at l…