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Aug 16, 2014 at 14:55 comment added Siksek Thanks Will. Chevalley's theorem shows that the number of affine solutions is divisible by $p$. I don't see how to use this to deduce that the number of affine solutions is positive!
Aug 16, 2014 at 14:34 comment added Will Sawin What you want may relate to Chevalley's theorem: en.wikipedia.org/wiki/Chevalley%E2%80%93Warning_theorem
Aug 16, 2014 at 13:48 comment added Siksek You're right Felipe! I have to rethink what I want.
Aug 16, 2014 at 11:57 comment added Felipe Voloch Won't you have trouble if $q=x_0^2-dx_n^2$ and $d$ is a non-square regardless of $n,N,B$ or $c$?
Aug 16, 2014 at 10:28 history asked Siksek CC BY-SA 3.0