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A closed-form law for the Salikhov-Zeilberger-Zudilin-Bai family, and computational evidence that Bai's point is optimal

Giraudin, David Niedbala
arXiv (All) · Papers
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number-theory
Salikhov (2008), Zeilberger-Zudilin (2020) and Bai (2026) all bound the irrationality measure of pi with the same shape of complex contour integral, differing only in three exponents. We give one closed-form expression for the resulting bound as a function of those exponents. The saddle-point data c
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