## anonymous 4 years ago Hey guys, Our professor gave us this bonus problem at the end of our take-home exam. I have spent all day trying to solve it, but I have not gotten very far. Could anyone help me? "Show that every non-trivial zero of the function$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s},$where $$s\in\mathbb{C}$$, has real part $$1/2$$."

1. anonymous

$\huge {\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s},}$ Just for enlarge your Equatio

2. jhonyy9

i think is the same like Riemann hypothesis or ???