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

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

2010-03-10

arxiv.org/abs/1003.2223v3

Mathematics

Number Theory

Made some modifications in the presentation of the main results

Scientific paper

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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