Difference between revisions of "Euler product for Riemann zeta"

Theorem (Euler Product): The following formula holds: $$\zeta(z)=\displaystyle\sum_{n=1}^{\infty} \dfrac{1}{n^z} = \displaystyle\prod_{p \mathrm{\hspace{2pt} prime}} \dfrac{1}{1-p^{-z}}.$$