# Resummation of the Harmonic series!

by yasiru89
Tags: harmonic, resummation, series
 P: 193 of course Yasiru since $$\zeta (1)$$ is infinite the regularization procedure is useless, this is a pain in the neck but can be solved via ramanujan summation $$S = \sum_{n=1}^{N}a(n)- \int_{1}^{N} dx a(x)$$ and taking N--->oo if you set a(n)=1/n (Harmonic series) you would get $$\sum_{n=1}^{N}1/n = \gamma$$ (Euler's constant)