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arXiv · 1304.5272

The distribution of points on curves over finite fields in some small rectangles

Kit-Ho Mak
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Abstract

Let $p$ be a prime. We study the distribution of points on a class of curves $C$ over $\mathbb{F}_p$ inside very small rectangles $B$ for which the Weil bound fails to give nontrivial information. In particular, we show that the distribution of points on $C$ over some long rectangles is Gaussian.

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Kit-Ho Mak. 2013-04-18. The distribution of points on curves over finite fields in some small rectangles. https://arxiv.org/abs/1304.5272

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