Browsing by Author "Somoza Henares, Anna"
Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2013-07)
Open AccessThe aim of this project is to address prime number distribution in two different situations: arithmetic progressions, by studying Dirichlet's theorem, and Galois extensions, through Chebotarev's theorem. After some ...
Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2019-03-28)
Covenantee: Universiteit LeidenGiven an elliptic curve E over the complex numbers (CC) given by y^2 = x^3 + ax + b, there exists a lattice L in CC such that the group E(CC) of complex points on E is isomorphic to the complex analytic group CC/L. This ...
Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2014-06)
Open AccessLet 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 ...