The distribution of points on curves over finite fields in some small rectangles |
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Authors: | Kit-Ho Mak |
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Affiliation: | 1. School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA, 30332-0160, USA
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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 (mathcal{B }) for which the Weil bound fails to give nontrivial information. In particular, we show that the distribution of points on (C) over long rectangles is Gaussian. |
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