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Apéry-Like Sums and Colored Multiple Zeta Values
In this article, we survey recent progress in the study of Apéry-like sums, which are multivariable generalizations of the two sums Apéry used in his famous proof of the irrationality of $ζ(2)$ and $ζ(3)$. We focus exclusively on infinite sums where central binomial coefficients appear in either the
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