\zetaThe Greek letter \zeta is used in mathematics and science to represent various concepts, such as the Riemann zeta function in number theory, the damping ratio in engineering, and the sixth letter of the Greek alphabet. It is often used in equations and expressions where these concepts are relevant.
The Riemann zeta function, a key function in number theory.
\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}Damping ratio in engineering, where c is the damping coefficient, m is mass, and k is the spring constant.
\zeta = \frac{c}{2\sqrt{mk}}The value of the Riemann zeta function at s=3, known as Apéry's constant.
\zeta \approx 1.20206