Improvements of The Weil Bound For Artin-Schreier Curves
Abstract
For Artin-Schreier curve yq -y = f(x) defined over a finite field Fq of q elements, we show that the Weil bound for the number of the rational points over extension fields of Fq can often be greatly improved, essentially removing an extra factor of size about the square root of q in the error term.
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