• Cropping Euler factors of modular L-functions 

      González Rovira, Josep; Jiménez Urroz, Jorge; Lario Loyo, Joan Carles (2013-09)
      Article
      Accés obert
      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
      Accés obert
      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)
      Projecte Final de Màster Oficial
      Accés obert
      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, ...