Two hypergeometric tales and a new irrationality measure of zeta(2)
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boundirrationalityzetaearlierestablishedexponenthypergeometricmeasure
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We prove the new upper bound 5.095412 for the irrationality exponent of $\zeta(2)=\pi^2/6$; the earlier record bound 5.441243 was established in 1996 by G. Rhin and C. Viola.
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