At least one of the three numbers $\zeta (5)$, $\zeta (7)$, $\zeta (9)$ is irrational

Shekhar Suman

In this article, we prove the irrationality of at least one of the three numbers $\zeta (5),\zeta (7)$ and $\zeta (9)$ is irrational. We find linear forms in $1,\zeta (5),\zeta (7)$ and $\zeta (9)$ and prove t…