Now showing items 1-20 of 69

    • 30 anys del Seminari de Teoria de Nombres de Barcelona, STNB 2016 

      Alsina Aubach, Montserrat (Societat Catalana de Matemàtiques (SCM), 2016-07)
      Article
      Open Access
      Covenantee:   Universitat de Barcelona
    • A medial-axis-based model for propagating cracks in a regularised bulk 

      Tamayo Mas, Elena; Rodríguez Ferran, Antonio (John Wiley & Sons, 2015-02-17)
      Article
      Open Access
      A new continuous-discontinuous strategy for the simulation of failure is presented. The continuous bulk is regularised by means of a gradient-enhanced damage model, where non-locality is introduced at the level of ...
    • A method to approximate the steepest descent direction of the od matrix adjustment problem 

      Codina Sancho, Esteve; Montero Mercadé, Lídia (Faculdade de Ciencias da Universidade de Lisboa + Universidade dos Açores, 2001)
      Conference report
      Open Access
    • A minimal bound and divergence case on the elliptic curves over finite fields 

      Sota, Antonino (Universitat Politècnica de Catalunya, 2019-10)
      Master thesis
      Restricted access - author's decision
      The main goal of this thesis is the study of elliptic curves over finite fields and the number of points of them. A study of interest is to analyze and find the cases when the difference #E(F_q^n )-#E(F_q) vanishes, where ...
    • A not usual integral 

      Díaz Barrero, José Luis (2018-03)
      Article
      Restricted access - author's decision
    • An algebraic framework for Diffie–Hellman assumptions 

      Escala Ribas, Alex; Herold, Gottfried; Kiltz, Eike; Ràfols Salvador, Carla; Villar Santos, Jorge Luis (2015-10-22)
      Article
      Open Access
      We put forward a new algebraic framework to generalize and analyze Diffie-Hellman like Decisional Assumptions which allows us to argue about security and applications by considering only algebraic properties. Our D`,k-MDDH ...
    • An alternative approach to generalized Pythagorean scales: generation and properties derived in the frequency domain 

      Cubarsí Morera, Rafael (2020-03-05)
      Article
      Open Access
      Abstract scales are formalized as a cyclic group of classes of projection functions related to iterations of the scale generator. Their representatives in the frequency domain are used to built cyclic sequences of tone ...
    • An automorphic approach to Darmon points 

      Guitart Morales, Xavier; Masdeu Sabaté, Marc; Molina Blanco, Santiago (2020)
      Article
      Open Access
      We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made ...
    • An introduction to the Langlands Conjectures 

      Felipe i Alsina, Marc (Universitat Politècnica de Catalunya, 2019-10)
      Master thesis
      Restricted access - author's decision
      In this thesis, we take a look into a generalization of Local Class Field Theory (LCFT), called the Local Langlands Conjecture, which concerns about identifying special representations of the Weil group, a subgroup of the ...
    • Automorphic SL2-periods and the subconvexity problem for GL2xGL3 

      Pal, Aprameyo; Vera Piquero, Carlos de (2020-01-09)
      External research report
      Open Access
      We prove a new (conditional) result towards the subconvexity problem for certain automorphic L-functions for GL2xGL3. This follows from the computation of new SL2-period integrals associated with newforms f and g of even ...
    • Bernouilli numbers, Eisenstein series and cyclotomic units 

      Urban, Eric (2019-03-06)
      Audiovisual
      Open Access
      I will recall what are the objects of the title and explain how one can combine them in a new way to explain a deep Theorem of Mazur and Wiles (proving a conjecture of Iwasawa) that gives a formula for the cardinality ...
    • Binary quadratic forms 

      Felipe i Alsina, Marc (Universitat Politècnica de Catalunya, 2018-01)
      Bachelor thesis
      Open Access
      In this degree thesis, we present some of the theory of integer binary quadratic forms, namely the classification by discriminant, proper equivalence relation, the composition laws and their connection to the ideal class ...
    • Class field theory 

      Alonso Rodríguez, Raúl (Universitat Politècnica de Catalunya, 2018-07)
      Bachelor thesis
      Open Access
      Class field theory describes the Abelian extensions of a local or global field in terms of the arithmetic of the field itself. The aim of this thesis is to present and prove its main statements. We begin by developing local ...
    • Computation of numerical semigroups by means of seeds 

      Bras Amorós, Maria; Fernández González, Julio (2018-09-01)
      Article
      Open Access
      For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in ...
    • Computing congruences of modular forms and Galois representations modulo prime powers 

      Taixes Ventosa, Xavier; Wiese, Gabor (2010)
      Article
      Open Access
      This article starts a computational study of congruences of modular forms and modular Galois representations modulo prime powers. Algorithms are described that compute the maximum integer modulo which two monic coprime ...
    • 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.
    • La conjectura de Sato-Tate 

      Altarriba Fatsini, Marta (Universitat Politècnica de Catalunya, 2019-07)
      Bachelor thesis
      Open Access
      L'objectiu d'aquest treball és, per una banda, formular la conjectura de Sato-Tate per a corbes el·líptiques i explicar algunes de les eines que intervenen a la seva demostració. Per altra banda, es pretén estudiar ...
    • Continued fraction 

      Sebastián Ochotorena, José (Universitat Politècnica de Catalunya, 2016-10)
      Bachelor thesis
      Restricted access - author's decision
      In this thesis we will deal with continued fractions, an expression which allow us to represent different mathematical objects through an iterative process (which can be finite or not). We will begin Chapter 1 with a brief ...
    • Criptosistema de Lucas 

      Bellot Casanovas, Josep (Universitat Politècnica de Catalunya, 2009-10)
      Master thesis
      Open Access
      En aquest treball es descriuen exhaustivament les funcions de Lucas i el mètode XTR (mètodes de criptogràfics sobre extessions de cossos finits), i s'analitzen tots els algorismes que s'han publicat fins ara per computar ...
    • Dimensionless analysis of HSDM and application to simulation of breakthrough curves of highly adsorbent porous media 

      Pérez Foguet, Agustí; Casoni Rero, Eva; Huerta, Antonio (2013-05)
      Article
      Open Access
      The homogeneous surface diffusion model (HSDM) is widely used for adsorption modeling of aqueous solutions. The Biot number is usually used to characterize model behavior. However, some limitations of this characterization ...