- Thread starter
- Moderator
- #1

- Feb 5, 2013

- 1,401

\(\displaystyle \prod\frac{1}{1-\frac{1}{p^s}}=\sum\frac{1}{n^s}\)

where $p$ is all primes and $n$ is all natural numbers. The function of the complex variable $s$, wherever these expressions converge, is called by Riemann $\zeta(s)$.

Any thoughts on how to prove this equation?

All comments welcome.