What do you consider proof for the riemann zeta function for a complex number? I don't get it. Why is one of the zeroes equal to 1/2 + 14.something times i?

How does that possibly equal zero for the zeta function? It can't from a traditional viewpoint so you must be doing something weird to """""""""""""prove"""""""""""" that it does right? So what are you doing?

Do you prove all of the non-trivial zeroes the same way or are there different ways to prove each one? If you can't answer the question where do I find out how to answer those specific questions?