We prove that $\frac{\zeta(s)}{s} \neq\overline{\Big(\frac{\zeta(1-s)}{1-s}\Big)}$ for every $\Re(s)\in(0,\frac{1}{2})$ and $\Im(s)>0$, where $\zeta$ is the Riemann Zeta function. In the end of the paper, we give a discussion about the Riemann hypothesis.