Now showing items 1-3 of 3

  • Equidistribution in number fields 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2013-07)
    Bachelor thesis
    Open Access
    The 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 ...
  • Inverse Jacobian and related topics for certain superelliptic curves 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2019-03-28)
    Doctoral thesis
    Open Access
    Covenantee:  Universiteit Leiden
    Given 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 ...
  • The Sato -Tate conjecture for a picard curve with complex multiplication 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2014-06)
    Master thesis
    Open Access
    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 ...