Now showing items 1-3 of 3

  • Congruences between modular forms and lowering the level mod l^n 

    Dieulefait, Luis Victor; Taixes Ventosa, Xavier (2009)
    Article
    Open Access
    In this article we study the behavior of inertia groups for modular Galois mod ℓn representations and in some cases we give a generalization of Ribet’s lowering the level result.
  • On fields of definition of torsion points of elliptic curves with complex multiplication 

    Dieulefait, Luis Victor; Gonzalez Jimenez, Enrique; Jiménez Urroz, Jorge (2011-06)
    Article
    Open Access
    For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of ...
  • Small primitive roots and malleability of RSA 

    Jiménez Urroz, Jorge; Dieulefait, Luis Victor (2012)
    Conference report
    Open Access
    In their paper [9], P. Paillier and J. Villar make a conjectur e about the malleability of an RSA modulus. In this paper we present an ex plicit algo- rithm refuting the conjecture. Concretely we can factorize an RSA ...