View source for Riemann zeta at even integers

==Theorem==
The following formula holds for even integers $n$ and $m \in \{1,2,3,\ldots\}$:
$$\zeta(n)= \left\{ \begin{array}{ll}
0 &, \quad n=-2m, \\
-\dfrac{1}{2} &, \quad n=0 \\
\dfrac{(-1)^m B_m}{2m} &, \quad n=2m,
\end{array} \right.$$
where $\zeta$ denotes [[Riemann zeta]] and $B_m$ denotes [[Bernoulli numbers]].

==Proof==

==References==
* {{BookReference|The Zeta-Function of Riemann|1930|Edward Charles Titchmarsh|prev=Riemann zeta as contour integral|next=findme}}: § Introduction $(5)$

[[Category:Theorem]]
[[Category:Unproven]]