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arXiv · 1004.2224

Improvements of The Weil Bound For Artin-Schreier Curves

Antonio Rojas-Leon·Daqing Wan
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Abstract

For Artin-Schreier curve y^q -y = f(x) defined over a finite field F_q of q elements, we show that the Weil bound for the number of the rational points over extension fields of F_q 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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Antonio Rojas-Leon, Daqing Wan. 2010-12-04. Improvements of The Weil Bound For Artin-Schreier Curves. https://arxiv.org/abs/1004.2224

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