Biased statistics for traces of cyclic p-fold covers over finite fields

A Bucur; C David; B Feigon; M Lalin

Biased statistics for traces of cyclic p-fold covers over finite fields

A Bucur, C David, B Feigon, M Lalin

School of Mathematics

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Abstract

In this paper, we discuss in more detail some of the results on the statistics of the trace of the Frobenius endomorphism associated to cyclic p-fold covers of the projective line that were presented in [1]. We also show new findings regarding statistics associated to such curves where we fix the number of zeros in some of the factors of the equation in the affine model.

Original language	English
Pages (from-to)	121-143
Number of pages	23
Journal	Proceedings of Women in Numbers, Fields Institute Communications
Volume	60
Publication status	Published - 2011

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Cite this

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title = "Biased statistics for traces of cyclic p-fold covers over finite fields",

abstract = "In this paper, we discuss in more detail some of the results on the statistics of the trace of the Frobenius endomorphism associated to cyclic p-fold covers of the projective line that were presented in [1]. We also show new findings regarding statistics associated to such curves where we fix the number of zeros in some of the factors of the equation in the affine model.",

author = "A Bucur and C David and B Feigon and M Lalin",

year = "2011",

language = "English",

volume = "60",

pages = "121--143",

journal = "Proceedings of Women in Numbers, Fields Institute Communications",

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TY - JOUR

T1 - Biased statistics for traces of cyclic p-fold covers over finite fields

AU - Bucur, A

AU - David, C

AU - Feigon, B

AU - Lalin, M

PY - 2011

Y1 - 2011

N2 - In this paper, we discuss in more detail some of the results on the statistics of the trace of the Frobenius endomorphism associated to cyclic p-fold covers of the projective line that were presented in [1]. We also show new findings regarding statistics associated to such curves where we fix the number of zeros in some of the factors of the equation in the affine model.

AB - In this paper, we discuss in more detail some of the results on the statistics of the trace of the Frobenius endomorphism associated to cyclic p-fold covers of the projective line that were presented in [1]. We also show new findings regarding statistics associated to such curves where we fix the number of zeros in some of the factors of the equation in the affine model.

M3 - Article

VL - 60

SP - 121

EP - 143

JO - Proceedings of Women in Numbers, Fields Institute Communications

JF - Proceedings of Women in Numbers, Fields Institute Communications

ER -