Definition:Apéry's Constant

Definition
Apéry's constant is the value of the infinite sum:
 * $\zeta \left({3}\right) = \displaystyle \sum_{n \mathop = 1}^\infty \frac 1 {n^3}$

where $\zeta$ denotes the Riemann zeta function.

Its approximate value is given by:
 * $\zeta \left({3}\right) \approx 1 \cdotp 20205 \, 69031 \, 59594 \, 28539 \, 97381 \, 61511 \, 44999 \, 07649 \, 86292 \ldots$

Also see

 * Value of Apéry's Constant


 * Apéry's Theorem