Ap\'ery's constant

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	$\displaystyle\zeta(3)$	$\displaystyle=\sum_{{n=1}}^{\infty}\frac{1}{n^{3}}$
		$\displaystyle=1.202056903159594285399738161511449990764986292\ldots$

has been called Apéry’s constant since 1979, when Roger Apéry published a remarkable proof that it is irrational [1].

1 Roger Apéry. Irrationalité de $\zeta(2)$ et $\zeta(3)$ . Astérisque, 61:11–13, 1979.
2 Alfred van der Poorten. A proof that Euler missed. Apéry’s proof of the irrationality of $\zeta(3)$ . An informal report. Math. Intell., 1:195–203, 1979.

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Definition

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11M06 no label found11J81 Transcendence (general theory)

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