Pls proove this
for p≠0, 2π, 4π, ... and q≠0, 2π, 4π, ...
~Kalyan.
All you are going to get from this approach is that the limit is less than or equal to .
A hand-waving argument would go that the complex exponentials are of unit magitude and random phase so as becomes large the sum goes as , but we divide by so goes to .
Unfortunatly I see no way to make this rigourous so some more thought is needed.
RonL