Recent Submissions

  • Nonuniform Fuchsian codes for noisy channels 

    Blanco Chacón, Iván; Remón Adell, Dionís; Hollanti, Camilla; Alsina Aubach, Montserrat (2014-11-01)
    Article
    Open Access
    We develop a new transmission scheme for additive white Gaussian noisy (AWGN) channels based on Fuchsian groups from rational quaternion algebras. The structure of the proposed Fuchsian codes is nonlinear and nonuniform, ...
  • The automorphism group of the non-split Cartan modular curve of level 11 

    Dose, Valerio; Fernández González, Julio; González Rovira, Josep; Schoof, Rene (2014-11-01)
    Article
    Restricted access - publisher's policy
    We derive equations for the modular curve X-ns(11) associated to a non-split Cartan subgroup of GL(2)(F-11). This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four ...
  • On the nonexistence of almost Moore digraphs 

    Conde Colom, Josep; Gimbert Quintilla, Joan; González Rovira, Josep; Miller, Mirka; Miret Biosca, Josep Maria (2014-07-01)
    Article
    Restricted access - publisher's policy
    Digraphs of maximum out-degree at most d > 1, diameter at most k > 1 and order N(d, k) = d + ... + d(k) are called almost Moore or (d, k)-digraphs. So far, the problem of their existence has been solved only when d = 2, 3 ...
  • The Frobenius traces distribution for modular Abelian surfaces 

    González Rovira, Josep (2014-02)
    Article
    Restricted access - publisher's policy
    We prove that there exist at least 15 pairs of measures for which the two normalized Frobenius traces on modular Abelian surfaces are equidistributed. Under an assumption about stochastic independence, we prove that there ...
  • Modular abelian varieties over number fields 

    Guitart Morales, Xavier; Quer Bosor, Jordi (2014)
    Article
    Restricted access - publisher's policy
    The main result of this paper is a characterization of the abelian varieties B=K defined over Galois number fields with the property that the L-function L(B=K; s) is a product of L-functions of non-CM newforms over Q for ...
  • 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 ...
  • Nonexistence of almost Moore digraphs of diameter four 

    Conde Colom, Josep; Gimbert Quintilla, Joan; González Rovira, Josep; Miret Biosca, Josep Maria; Moreno Chiral, Ramiro (2013-03-31)
    Article
    Open Access
    Regular digraphs of degree d > 1, diameter k > 1 and order N(d; k) = d+ +dk will be called almost Moore (d; k)-digraphs. So far, the problem of their existence has only been solved when d = 2; 3 or k = 2; 3. In this ...
  • Equations of bielliptic modular curves 

    González Rovira, Josep (2012-11)
    Article
    Open Access
    We give a procedure to determine equations for the modular curves X0(N) which are bielliptic and equations for the 30 values of N such that X0(N) is bielliptic and nonhyperelliptic are presented.
  • Computation of ATR Darmon points on nongeometrically modular elliptic curves 

    Guitart Morales, Xavier; Masdeu, Marc (2013-03)
    Article
    Restricted access - publisher's policy
    ATR points were introduced by Darmon as a conjectural con- struction of algebraic points on certain elliptic curves for which the Heegner-point method is not in general available. So far, the only numerical evidence, ...
  • Sato-Tate distributions and Galois endomorphism modules in genus 2 

    Fité, Francesc; Kedlaya, Kiran; Rotger Cerdà, Víctor; Sutherland, Andrew (2012)
    Article
    Restricted access - publisher's policy
    For an abelian surface A over a number eld k, we study the limit- ing distribution of the normalized Euler factors of the L-function of A. This distribution is expected to correspond to taking characteristic poly- nomials ...

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