Gaussian point count statistics for families of curves over a fixed finite field

Par Kurlberg; Igor Wigman

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arXiv · 1003.2223

Gaussian point count statistics for families of curves over a fixed finite field

Par Kurlberg·Igor Wigman

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Abstract

We produce a collection of families of curves, whose point count statistics over F_p becomes Gaussian for p fixed. In particular, the average number of F_p points on curves in these families tends to infinity.

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Par Kurlberg, Igor Wigman. 2010-06-28. Gaussian point count statistics for families of curves over a fixed finite field. https://arxiv.org/abs/1003.2223

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