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Paper detail

Two hypergeometric tales and a new irrationality measure of $ζ(2)$

We prove the new upper bound 5.095412 for the irrationality exponent of $ζ(2)=π^2/6$; the earlier record bound 5.441243 was established in 1996 by G. Rhin and C. Viola.

preprint2014arXivOpen access
Wadim Zudilin
math.CAmath.NT
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