Apéry's Theorem

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Theorem

Apéry's constant:

$\zeta \left({3}\right) = \displaystyle \sum_{n \mathop = 1}^\infty \frac 1 {n^3}$

is irrational.


Proof


Source of Name

This entry was named for Roger Apéry.


Sources

  • 1979: Roger ApéryIrrationalité de $\zeta \left({2}\right)$ et $\zeta \left({2}\right)$ (Astérisque Vol. 61: 11 – 13)