Irrationality Measure of Pi

The first estimate of the upper bound $μ(π)\leq42$ of the irrationality measure of the number $π$ was computed by Mahler in 1953, and more recently it was reduced to $μ(π)\leq7.6063$ by Salikhov in 2008. Here, it is shown that $π$ has the same irrationality measure $μ(π)=μ(α)=2$ as almost every irrational number $α>0$.

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