scholarly journals Weighted distribution of points on cyclic covers of the projective line over finite fields

2019 ◽  
Vol 57 ◽  
pp. 29-46
Author(s):  
Gilyoung Cheong
Keyword(s):  
Finite Fields ◽  
Projective Line ◽  
Weighted Distribution ◽  
Cyclic Covers ◽  
Distribution Of Points

scholarly journals Distribution of points on Abelian covers over finite fields

2018 ◽  
Vol 14 (05) ◽  
pp. 1375-1401 ◽  
Author(s):  
Patrick Meisner
Keyword(s):  
Finite Fields ◽  
Galois Extension ◽  
Random Variables ◽  
Families Of Curves ◽  
Abelian Covers ◽  
Distribution Of Points ◽  
Genus Formula

We determine in this paper the distribution of the number of points on the covers of [Formula: see text] such that [Formula: see text] is a Galois extension and [Formula: see text] is abelian when [Formula: see text] is fixed and the genus, [Formula: see text], tends to infinity. This generalizes the work of Kurlberg and Rudnick and Bucur, David, Feigon and Lalin who considered different families of curves over [Formula: see text]. In all cases, the distribution is given by a sum of [Formula: see text] random variables.

scholarly journals On cyclic covers of the projective line

2006 ◽  
Vol 121 (1) ◽  
pp. 105-130 ◽  
Author(s):  
Jannis A. Antoniadis ◽  
Aristides Kontogeorgis
Keyword(s):  
Projective Line ◽  
Cyclic Covers

scholarly journals Newton polygons arising from special families of cyclic covers of the projective line

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Wanlin Li ◽  
Elena Mantovan ◽  
Rachel Pries ◽  
Yunqing Tang
Keyword(s):  
Projective Line ◽  
Newton Polygons ◽  
Cyclic Covers
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