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A new upper bound for the irrationality exponent of zeta(3)
We prove that the irrationality exponent of $ζ(3)$ satisfies $μ(ζ(3)) < 5.5138800$, improving the bound $5.513891$ obtained by Rhin and Viola in 2001, which has been the best known for twenty-five years. The proof is an application of their Theorem 5.1 at a new integral direction. That direction is
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