Now showing items 21-40 of 83

    • 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 ...
    • Eichler–Shimura isomorphism and group cohomology on arithmetic groups 

      Molina Blanco, Santiago (2017-11)
      Article
      Open Access
      The Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the ...
    • El mètode del cercle 

      Colomer Xaus, Pau (Universitat Politècnica de Catalunya, 2023-05)
      Bachelor thesis
      Open Access
      This thesis is focused on the Hardy-Ramanujan-Littlewood circle method. These mathematicians developed that technique to solve long-standing and important problems in additive number theory. In this project we treat two ...
    • Emmy Noether: de l'àlgebra no commutativa a la teoria de nombres 

      Bayer, Pilar (2009-05-06)
      Audiovisual
      Open Access
      En la producció d’EmmyNoetherse solen distingir tres períodes: del 1908 al 1919 en què es dedicà a la teoria d'invariants, teoria de Galois i càlcul de variacions; del 1920 al 1926 en què el seu estudi se centrà en els ...
    • Euclides no vivió en Manhatan: Geometria urbana 

      Gómez Urgellés, Joan Vicenç (2019-02-05)
      Article
      Open Access
      Se presentan los diagramas de Voronoi y a su vez la taxi distancia como modelos para resolver una situación en la que hay que ubicar tres centros asistenciales. El proyecto está realizado con alumnos de ingeniería de la ...
    • Euler y la Teoría de Números 

      Chamizo, Fernando (2007-02-14)
      Audiovisual
      Open Access
      El gran Euler manifestó su genialidad en muchas áreas de las Matemáticas, entre ellas la teoría de números por la que tuvo un interés continuado a lo largo de su vida. El propósito de esta charla es ilustrar algunas de sus ...
    • Exotic forms of weight 1 

      Torrent i Soler, Pol (Universitat Politècnica de Catalunya, 2016-07)
      Bachelor thesis
      Open Access
      En aquest projecte presentem un mètode per obtenir la forma modular associada a la representació de Galois d'un recobriment doble del grup simètric S4. Per aconseguir extensions de Galois que tinguin com a grup de Galois ...
    • eXtended Hybridizable Discontinuous Galerkin (X-HDG) for void and bimaterial problems 

      Gürkan, Ceren; Sala Lardies, Esther; Kronbichler, Martin; Fernández Méndez, Sonia (Springer, 2016)
      Part of book or chapter of book
      Restricted access - publisher's policy
      This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant ...
    • Factorization and catenary degree in 3-generated numerical semigroups 

      Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A. (2009-08-01)
      Article
      Restricted access - publisher's policy
      Given a numerical semigroup S(A), generated by A = {a,b,N} ⊂ N with 0 < a < b < N and gcd(a,b,N) = 1, we give a parameterization of the set F(m;A) = {(x, y, z) ∈ $N^3$ | xa + yb + zN = m} for any m ∈ S(A). We also give the ...
    • Fields of definition of elliptic k-curves and the realizability of all genus 2 sato–tate groups over a number field 

      Fite Naya, Francesc; Guitart Morales, Xavier (2018-07-01)
      Article
      Open Access
      Let A/Q be an abelian variety of dimension g = 1 that is isogenous over Q to Eg, where E is an elliptic curve. If E does not have complex multiplication (CM), by results of Ribet and Elkies concerning fields of definition ...
    • La funció Z de Riemann 

      Quer Bosor, Jordi (2014-01-31)
      Other
      Open Access
      El novembre de 1859 Riemann envià un manuscrit de sis fulls a l’Acadèmia de Berlín titulat Sobre el nombre de primers menors que una quantitat donada, el qual seria l’única publicació dedicada a la teoria de nombres de ...
    • Functions and differentials on the non-split Cartan modular curve of level 11 

      Fernández González, Julio; González Rovira, Josep (2017-01-01)
      Article
      Open Access
      The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its ...
    • Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication 

      Molina Blanco, Santiago (2017-12-08)
      Article
      Open Access
      We construct a projective Galois representation attached to an abelian L-surface with quaternionic multiplication, describing the Galois action on its Tate module. We prove that such representation characterizes the Galois ...
    • Hamilton y la teoría de Galois 

      Morales Ruíz, Juan José (2006-03-08)
      Audiovisual
      Open Access
      Indudablemente uno de los legados más importantes de Hamilton es la rama de la teoría de ecuaciones diferenciales que en honor a su nombre se denomina Sistemas Hamiltonianos. Ejemplos de sistemas Hamiltonianos son la ...
    • Harmonic distance in intervals and chords 

      Cubarsí Morera, Rafael (2019-05-01)
      Article
      Open Access
      The harmonic distance between two pure tones, in the sense used by Tenney, is generalised to chords whose pitches are harmonic fractions. In the tonal graph generated by the harmonics involved in a chord, which for n-TET ...
    • Heegner's lemma 

      Jofre Senciales, Jordi (Universitat Politècnica de Catalunya, 2019-10)
      Master thesis
      Open Access
      Es un treball que explica una mica com Heegner va fer per trobar una familia de nombre congruents. Tambe explico les eienes que es necessiten de class field theory i modular functions. També explica el metode de descents ...
    • High-order mesh curving by distortion minimization with boundary nodes free to slide on a 3D CAD representation 

      Ruiz-Gironés, Eloi; Roca Navarro, Francisco Javier; Sarrate Ramos, Josep (2016-03)
      Article
      Open Access
      We propose a 3D mesh curving method that converts a straight-sided mesh to an optimal-quality curved high-order mesh that interpolates a CAD boundary representation. The main application of this method is the generation ...