Ara es mostren els items 1-12 de 89

    • Hopf-Galois module structure of quartic Galois extensions of Q 

      Gil Muñoz, Daniel; Río Doval, Ana (2022-09)
      Article
      Accés obert
      Given a quartic Galois extension L/Q of number fields and a Hopf-Galois structure H on L/Q, we study the freeness of the ring of integers OL as module over the associated order AH in H. For the classical Galois structure ...
    • Induced Hopf Galois structures and their local Hopf Galois modules 

      Gil Muñoz, Daniel; Río Doval, Ana (2020-09)
      Article
      Accés obert
      The regular subgroup determining an induced Hopf Galois structure for a Galois extension L/K is obtained as direct product of the corresponding regular groups of the inducing subextensions. We describe here the attached ...
    • An inverse Jacobian algorithm for Picard curves 

      Lario Loyo, Joan Carles; Somoza Henares, Anna; Vincent, Christelle (Springer, 2021-06-01)
      Article
      Accés obert
      We study the inverse Jacobian problem for the case of Picard curves over C. More precisely, we elaborate on an algorithm that, given a small period matrix O¿C3×3 corresponding to a principally polarized abelian threefold ...
    • Satins, lattices, and extended Euclid's algorithm 

      Brunat Blay, Josep M.; Lario Loyo, Joan Carles (2021-01-01)
      Article
      Accés obert
      Motivated by the design of satins with draft of period m and step a, we draw our attention to the lattices L(m,a)=¿(1,a),(0,m)¿ where 1=a<m are integers with gcd(m,a)=1. We show that the extended Euclid's algorithm applied ...
    • Every integer can be written as a square plus a squarefree 

      Jiménez Urroz, Jorge (2022-09)
      Article
      Accés restringit per política de l'editorial
      In the paper we can prove that every integer can be written as the sum of two integers, one perfect square and one squarefree. We also establish the asymptotic formula for the number of representations of an integer in ...
    • A study of the separating property in Reed-Solomon codes by bounding the minimum distance 

      Fernández Muñoz, Marcel; Jiménez Urroz, Jorge (2022-02)
      Article
      Accés obert
      According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. It is known that, if the minimum distance of the code is larger than a certain threshold then the TA ...
    • Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form 

      Rotger Cerdà, Víctor (2021-03-15)
      Article
      Accés obert
      Kings, Lei, Loeffler and Zerbes constructed in [LLZ], [KLZ1] a three-variable Euler system ¿(g,h) of Beilinson–Flach elements associated to a pair of Hida families (g,h) and exploited it to obtain applications to the ...
    • On the L-invariant of the adjoint of a weight one modular form 

      Roset Julià, Martí; Rotger Cerdà, Víctor; Vatsal, Vinayak (2021-01-01)
      Article
      Accés obert
      The purpose of this article is proving the equality of two natural L -invariants attached to the adjoint representation of a weight one cusp form, each defined by purely analytic, respectively, algebraic means. The proof ...
    • Primes represented by quadratic polynomials via exceptional characters 

      Chamizo Lorente, Fernando; Jiménez Urroz, Jorge (Springer Nature, 2021-08-01)
      Article
      Accés obert
      We estimate the number of primes represented by a general quadratic polynomial with discriminant ¿, assuming that the corresponding real character is exceptional.
    • Lazlo Lovász i Avi Widergson: premis Abel 2021 

      Rué Perna, Juan José; Díaz Cort, Josep; Guàrdia Rubies, Jordi; Atserias, Albert; Serra Albó, Oriol (Societat Catalana de Matemàtiques (SCM), 2021-12-14)
      Article
      Accés obert
      El dia 17 de març l’Acadèmia de Ciències Noruega va anunciar que el Premi Abel 2021 s’atorgava a Laszló Lovász i Avi Widgerson per, segons es llegeix de la laudatio del premi, “. . . les seves contribucions fonamentals a ...
    • Of limit key polynomials 

      Alberich Carramiñana, Maria; Fernández Boix, Albert.; Fernández González, Julio; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vellvé, Joaquim (2021-04-01)
      Article
      Accés obert
      Let ν be a valuation of arbitrary rank on the polynomial ring K[x] with coefficients in a field K. We prove comparison theorems between MacLane-Vaquié key polynomials for valuations μ ≤ν and abstract key polynomials for ...
    • L'aprenentatge automàtic (machine learning): una projecció de les matemàtiques en el món industrial i empresarial 

      Alsina Aubach, Montserrat; Sala Cladelles, Carles (Societat Catalana de Matemàtiques (SCM), 2020-02)
      Article
      Accés obert