Now showing items 1-3 of 3

  • Cropping Euler factors of modular L-functions 

    González Rovira, Josep; Jiménez Urroz, Jorge; Lario Loyo, Joan Carles (2013-09)
    Article
    Open Access
    According to the Birch and Swinnerton-Dyer conjectures, if A/Q is an abelian variety, then its L-function must capture a substantial part of the properties of A. The smallest number field L where A has all its endomorphisms ...
  • Heegner points on Hijikata-Pizer-Shemanske curves and the Birch and Swinnerton-Dyer conjecture 

    Longo, Matteo; Rotger Cerdà, Víctor; Vera Piquero, Carlos de (2018-01-01)
    Article
    Open Access
    We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from uniformization by Shimura curves attached to a rather general type of quaternionic orders. We address several questions ...
  • The Prime number theorem for L-functions of elliptic curves with CM 

    Grados Fukuda, Miguel Daygoro (Universitat Politècnica de Catalunya, 2012-07)
    Master thesis
    Open Access
    A través de un ejemplo de curva elíptica con CM, definimos L(E,s), su función L asociada. Luego, veremos cómo esta función proviene de un caracter de Hecke, y tras un breve estudio de las funciones L en un contexto general, ...