08 Aug 03
3 edits
Let z be a complex number. Let
S(z) = 1 + 2^-z + 3^-z + 4^-z + ....
Show that all the zeros of this function are either negative even integers or of the form 1/2 + it. Enjoy 😛!
EDIT I have no idea how to come up with a solid proof...and I've tried.
EDIT THE SECOND My sarcastic streak strikes again! Either try this question or look it up to see why....