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.

引用

页码：151 / 165

页数：15

共 37 条

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