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 $1/2$."

Question

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 $1/2$."

anonymous · Answer

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

jhonyy9 · Answer

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