2 )n+1 pnr (2 p)r+1. 6. For the third part, find the real part of GX (), where is a primitive complex root

2 )n+1 pn−r (2 − p)r+1.

6. For the third part, find the real part of GX (θ), where θ is a primitive complex root of unity.

8. GX (s) = GN ( 1 2 + 1 2 s), giving by independence that G = GN satisfies the functional equation G(s) = G( 1 2 + 1 2 s)2. Iterate this to obtain G(s) = G

????

1 + (s − 1)/m

m

, where m = 2n, use Taylor’s theorem and take the limit as n →∞.