Author

Yu Bai

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Preprint Sep 2026

The irrationality measure of {\pi} is at most 7.101862832357

We introduce two independent numerator exponents into the Zeilberger--Zudilin integral and specialize them to \[ A_1=A_2=\frac{1857}{2785}. \] The resulting integer linear forms in $1$ and $\pi$ prove \[ \mu(\pi)<7.101862832357. \] This lowers the Zeilberger--Zudilin upper bound $7.103205334137\ldots$ by more than $0.0...

Yu Bai · 1 citation