Recent Submissions

  • 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
    Open Access
    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 ...
  • 7deMates 

    Alsina Aubach, Montserrat; Blasco Estrada, Alba; Pérez Hernández, Noèlia; Rodríguez García, Carla (Federación Española de Sociedades de Profesores de Matemáticas (FESPM), 2019)
    Conference lecture
    Restricted access - publisher's policy
    7demates es un grupo de trabajo, un laboratorio, de profesores de matemáticas de educación secundaria y universidad, y jóvenes con talento para las matemáticas, para fomentar el conocimiento de las matemáticas y las STEAM. ...
  • 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
    Open Access
  • Compartició de secrets 

    Alsina Aubach, Montserrat (FEEMCAT, 2020)
    Conference report
    Open Access
    En la societat actual tenim molt present que cal protegir dades i informació. En particular, els esquemes de compartició de secrets ofereixen mètodes per distribuir una informació secreta en un grup de participants de ...
  • Espais cooperatius de formació contínua activa: una experiència 5 x 7 

    Carné Sànchez, Alba; Carulla Batallé, Roc; Alsina Aubach, Montserrat (FEEMCAT, 2020)
    Conference report
    Open Access
    Hi ha un consens generalitzat sobre els beneficis de la formació permanent, de manera que des de diferents àmbits hi ha propostes diverses a l’abast del professorat i educadors, la majoria com a cursos. Ara bé, potser no ...
  • Joaquim Serra i Sebastià Xambó 

    Alsina Aubach, Montserrat (Societat Catalana de Matemàtiques (SCM), 2020-09)
    Article
    Open Access
  • La funció de les dades 

    Alsina Aubach, Montserrat (Societat Catalana de Matemàtiques (SCM), 2020-02)
    Article
    Open Access
  • L-invariants and Darmon cycles attached to higher weight modular forms 

    Rotger Cerdà, Víctor; Seveso, Marco (2012)
    Article
    Open Access
    Let f be a modular eigenform of even weight k=2 and new at a prime p dividing exactly the level with respect to an indefinite quaternion algebra. The theory of Fontaine-Mazur allows to attach to f a monodromy module DFMf ...
  • Special values of L-functions and the arithmetic of Darmon points 

    Longo, Matteo; Rotger Cerdà, Víctor; Vigni, Stefano (2013)
    Article
    Open Access
    Building on our previous work on rigid analytic uniformizations, we introduce Darmon points on Jacobians of Shimura curves attached to quaternion algebras over and formulate conjectures about their rationality properties. ...
  • On the Elliptic Stark Conjecture in higher weight 

    Gatti, Francesca; Guitart Morales, Xavier (2020-01-01)
    Article
    Open Access
    We study the special values of the triple product p-adic L-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can ...
  • On some classes of irreducible polynomials 

    Gutiérrez Gutiérrez, Jaime; Jiménez Urroz, Jorge (2020-07)
    Article
    Restricted access - publisher's policy
    One of the fundamental tasks of Symbolic Computation is the factorization of polynomials into irreducible factors. The aim of the paper is to produce new families of irreducible polynomials, generalizing previous results ...
  • Factorization and Malleability of RSA Moduli, and Counting Points on Elliptic Curves Modulo N 

    Dieulefait, Luis Victor; Jiménez Urroz, Jorge (Multidisciplinary Digital Publishing Institute (MDPI), 2020-11-27)
    Article
    Open Access
    In this paper we address two different problems related with the factorization of an RSA (Rivest–Shamir–Adleman cryptosystem) modulus N. First we show that factoring is equivalent, in deterministic polynomial time, to ...

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