In the wikipedia page "1+2+3+4+..."
http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF
(and specifically in the section "Zeta Function Regularization")it is stated without reference that $\zeta(s)$ is given by the degree zero term of the Laurent series expansion around $h=0$ of $\sum_{n=1}^{\infty} n^{-s} e^{hn}$. Is this statement true? I have some doubts becuase I found no reference to such a relation in the literature about the Riemann zeta function.
Thank you very much for your help in advance.