I need some help with a divergence problem.
Say I have an equation:
for a complex "s" with a real part 0<Re(s)<1.
I know the series diverges, which is simple enough, but what I need help with is understanding whether the real part diverges to a more dense infinity than the imaginary part.
Basically can anyone prove that:
sigma[ ]>sigma[ ]
for limits with n=1 to n=infinity