Browsing by Subject "Number theory"
Now showing items 1-20 of 85
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30 anys del Seminari de Teoria de Nombres de Barcelona, STNB 2016
(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
(John Wiley & Sons, 2015-02-17)
Article
Open AccessA 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
(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
(Universitat Politècnica de Catalunya, 2019-10)
Master thesis
Restricted access - author's decisionThe 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 nonintrusive reduced order method for the NVH assessment and automotive structural dynamics
(2021)
Conference report
Restricted access - publisher's policyThe goal of this work is to develop a computational method able to optimize the design process of a car structure and provide a tool which can support designers during the decision-making phase. The design of a car ... -
A not usual integral
(2018-03)
Article
Restricted access - author's decision -
Additive volume of sets contained in few arithmetic progressions
(De Gruyter, 2019-03-06)
Article
Open AccessA conjecture of Freiman gives an exact formula for the largest volume of a finite set A of integers with given cardinality k=|A| and doubling T=|2A|. The formula is known to hold when T=3k-4, for some small range over 3k-4 ... -
An algebraic framework for Diffie–Hellman assumptions
(2015-10-22)
Article
Open AccessWe 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
(2020-03-05)
Article
Open AccessAbstract 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
(2020)
Article
Open AccessWe 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
(Universitat Politècnica de Catalunya, 2019-10)
Master thesis
Restricted access - author's decisionIn 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 ... -
Artin’s Conjecture on primes with prescribed primitive roots
(Universitat Politècnica de Catalunya, 2023-05-30)
Bachelor thesis
Open Access
Covenantee: University of California, BerkeleyLa Conjectura d’Artin sobre la densitat del conjunt de nombres primers amb una arrel primitiva prescrita és un dels problemes matemàtics oberts més fàcils d’enunciar. En la seva versió més clàssica, es planteja la següent ... -
Automorphic SL2-periods and the subconvexity problem for GL2xGL3
(2020-01-09)
Research report
Open AccessWe 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
(2019-03-06)
Audiovisual
Open AccessI 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
(Universitat Politècnica de Catalunya, 2018-01)
Bachelor thesis
Open AccessIn 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 ... -
Bipartite secret sharing and staircases
(Elsevier, 2024-05-01)
Article
Open AccessBipartite secret sharing schemes have a bipartite access structure in which the set of participants is divided into two parts and all participants in the same part play an equivalent role. Such a bipartite scheme can be ... -
Class field theory
(Universitat Politècnica de Catalunya, 2018-07)
Bachelor thesis
Open AccessClass 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
(2018-09-01)
Article
Open AccessFor 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
(2010)
Article
Open AccessThis 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
(2009)
Article
Open AccessIn 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.
