Tribal zeros of zeta function: Can anybody explains why -2 is a trivial zero of zeta function?

[Jynaan]

Can anybody explains why -2 is a trivial zero of zeta function?

 

[Otis]

Hi Jynaan. One, short answer is because the factor sin(πn/2) goes to zero, when n is a negative, even Integer.

To see other perspectives, check out some search-engine hits:

https://www.google.com/search?q=why+does+the+zeta+function+have+trivial+zeros?

[imath]\;[/imath]