From wikipedia, http://en.wikipedia.org/wiki/Riemann_zeta_function
"Furthermore, the fact that $\zeta(s) = \zeta(s^*)^*$ for all complex s ≠ 1 ($s^*$ indicating complex conjugation) implies that the zeros of the Riemann zeta function are symmetric about the real axis."
I know the zeros are symmetrical. But what about the other values of $\zeta(s)$? My main aim is to find out:
Is $\zeta(s)$ symmetrical about the real axis for all $\Re(s) > 1$ ?