Gaussian Point Count Statistics for Families of Curves Over a Fixed Finite Field

Kurlberg, P. and Wigman, Igor 2011. Gaussian Point Count Statistics for Families of Curves Over a Fixed Finite Field. International Mathematics Research Notices 2011 (10) , pp. 2217-2229. 10.1093/imrn/rnq154

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Oxford University Press
ISSN:	1073-7928
Last Modified:	26 Jun 2019 01:57
URI:	https://orca.cardiff.ac.uk/id/eprint/12411

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