Exploració per tema "Number theory"
Ara es mostren els items 72-83 de 83
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Tensor representation of non-linear models using cross approximations
(2019-10-01)
Article
Accés obertTensor representations allow compact storage and efficient manipulation of multi-dimensional data. Based on these, tensor methods build low-rank subspaces for the solution of multi-dimensional and multi-parametric models. ... -
The automorphism group of the modular curve X* 0 (N) with square-free level
(2021-04-27)
Article
Accés obertWe determine the automorphism group of the modular curve X* 0 (N), obtained as the quotient of the modular curve X0(N) by the group of its Atkin-Lehner involutions, for all square-free values of N. -
The Golod-shafarevich inequality and the class field tower problem
(Universitat Politècnica de Catalunya, 2022-05)
Treball Final de Grau
Accés obert
Realitzat a/amb: McGill UniversityEn aquesta tesi presentarem contraexemples explícit per al problema de la torre de cossos de classes, demostrant així que existeixen cossos de nombres K que no poden ser immergits dins un cos de nombres més gran L amb ... -
The Kronecker-Weber Theorem
(Universitat Politècnica de Catalunya, 2018-07)
Treball Final de Grau
Accés obertIn this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that every finite abelian extension over the field of rational numbers Q is contained in some cyclotomic extension of Q. We ... -
The least common multiple of random sets of positive integers
(2014-11-01)
Article
Accés obertWe study the typical behavior of the least common multiple of the elements of a random subset A¿{1,…,n}. For example we prove that lcm{a:a¿A}=2n(1+o(1)) for almost all subsets A¿{1,…,n} -
The receding front method applied to hexahedral mesh generation of exterior domains
(2011-11-30)
Article
Accés obertTwo of the most successful methods to generate unstructured hexahedral meshes are the grid-based methods and the advancing front methods. On the one hand, the grid-based methods generate high-quality hexahedra in the inner ... -
The Riemann zeta function and its applications
(Universitat Politècnica de Catalunya, 2017-07)
Treball Final de Grau
Accés obertThe aim of this thesis is to expose the basic theory of the Riemann zeta function and some of its classical applications in multiplicative number theory, like the prime number theorem and Dirichlet's theorem on arithmetic ... -
The Sato -Tate conjecture for a picard curve with complex multiplication
(Universitat Politècnica de Catalunya, 2014-06)
Projecte Final de Màster Oficial
Accés obertLet C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this Master thesis we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute the statistical moments for the ... -
Tipus de reduccions de corbes
(Publicacions i Edicions de la Universitat de Barcelona (UB), 2008-01-31)
Capítol de llibre
Accés obert -
Torcimiento de cuárticas planas lisas
(Universitat Politècnica de Catalunya, 2010-10)
Projecte Final de Màster Oficial
Accés obertEn este trabajo se determinan los twists de las cuárticas planas lisas, es decir, de las curvas lisas no hiperelípticas de género 3. Se parte de una clasificación de Henn de las cuárticas planas y sus grupos de automorfismos ... -
Understanding the factorization mod p of polynomials via modular forms
(Universitat Politècnica de Catalunya, 2020-10)
Projecte Final de Màster Oficial
Accés obertIn this work we shall relate the factorization of polynomials modulo p with the splitting of primes in number fields, and we shall study in which cases the different possibilities of factorization or splitting can be ... -
Vincles conceptuals entre els tres problemes metalògics de Hilbert
(2018-02-28)
Audiovisual
Accés obertEs tracta de presentar un concepte que, d’alguna manera, unifica problemes que, en una primera lectura, podria semblar que no tenen res a veure. I fer-ho basant-nos en els resultats obtinguts entre 1931 i 1971 pels matemàtics ...