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The irrationality measure of π is at most 7.101862832357

Bai, Yufei
arXiv (All) · Papers
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number-theory
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 $π$ prove \[ μ(π)<7.101862832357. \] This lowers the Zeilberger--Zudilin upper bound $7.103205334137\ldots$
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