The Sato -Tate conjecture for a picard curve with complex multiplication

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Title:	The Sato -Tate conjecture for a picard curve with complex multiplication
Author:	Somoza Henares, Anna
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Lario Loyo, Joan Carles
Abstract:	Let C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this Master thesis 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.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres -Number theory -Sato-Tate conjecture -Number Theory -Picard curve -Distribution -Nombres, Teoria dels -Classificació AMS::11 Number theory::11Y Computational number theory
Rights:	http://creativecommons.org/licenses/by-nc-sa/3.0/es/
Document type:	Research/Master Thesis
Published by:	Universitat Politècnica de Catalunya
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