Determine the exact irrationality measure of \(\pi\)

Determine the exact value of the irrationality measure \(\mu(\pi)\), which is not established by the available upper bounds and rational approximations.

Background

The paper studies upper bounds for the irrationality measure $\mu(\pi)$, improving the previously known Zeilberger–Zudilin bound to $\mu(\pi)<7.101862832357$. This result provides a stronger upper estimate but does not identify the exact exponent governing rational approximation to $\pi$.