# Euler zeta function

Euler studied the sumfor integers

*s*> 1 (clearly (1) is infinite). Euler discovered a formula relating (2

*k*) to the Bernoulli numbers yielding results such as and .

What has this got to do with the primes? The answer is in the following
product taken over the primes *p* (also discovered by Euler):

Euler wrote this as

**See Also:** RiemannZetaFunction

**Related pages** (outside of this work)

- The Riemann hypothesis with expanded information on this function

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