Distribution properties of certain exponential sums

The Normal Distribution as a Limit of Generalized Sato-Tate Measures

“…We make this precise, and prove that in fact G g = G ′ 2g+2 . The results of this paper are superficially similar to those of Davidoff [4]. However, the apparent similarity is illusory.…”

“…Proof. We note that f (x) 4 is VRD, so the right hand side of (2.6.1) converges. Let g(x) by any smooth compactly supported function which takes only non-negative values.…”