Monday, 20 July 2015

convergence divergence - Riemann Zeta Function Analytic Continuation

I am struggling to understand how the analytic continuation of the Riemann Zeta function is derived to extend it to all complex values z not equal to 1, starting with the series which converges only for Re(z)>1. Can someone provide a relatively simple/intuitive explanation of how this is achieved? Also, I understand that analytic continuation is unique, so there is only one analytic continuation of the Riemann Zeta Function, right?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...