The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fite)

被引：3
|
作者：
Lario, Joan-Carles [1 ]
Somoza, Anna [1 ,2 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat, Barcelona, Spain
[2] Leiden Univ, Math Inst, Leiden, Netherlands
来源：
NUMBER THEORY RELATED TO MODULAR CURVES: MOMOSE MEMORIAL VOLUME | 2018年 / 701卷
关键词：
D O I：
10.1090/conm/701/14151
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let C/Q be the genus 3 Picard curve given by the affine model y(3) = x(4) - x. In this paper we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute the statistical moments for the limiting distribution of the normalized local factors of C.
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页码：151 / 165
页数：15
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