Exploració per tema "Discontinuous groups"
Ara es mostren els items 1-8 de 8
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Congruences between modular forms
(Universitat Politècnica de Catalunya, 2018-07)
Projecte Final de Màster Oficial
Accés obertThis master s thesis is intended to give a presentation of the theory of congruences between the Fourier coecients of modular forms. In order to do that we introduce the reader to the basic theory of modular forms from the ... -
Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form
(2021-03-15)
Article
Accés obertKings, Lei, Loeffler and Zerbes constructed in [LLZ], [KLZ1] a three-variable Euler system ¿(g,h) of Beilinson–Flach elements associated to a pair of Hida families (g,h) and exploited it to obtain applications to the ... -
Hecke algebras, deformation rings and singularities
(Universitat Politècnica de Catalunya, 2022-07)
Projecte Final de Màster Oficial
Accés obertThe aim of this work is to cover the main background of Hecke algebras and deformations of Galois Representations, as well as the main results on complete intersection rings used in the most important results on Number ... -
Modular symbols
(Universitat Politècnica de Catalunya, 2016-05)
Treball Final de Grau
Accés obertModular forms are holomorphic functions defined on the complex upper half-plane which transform in a certain way under the action of a group of matrices. Alternatively, they can be thought of as differential forms on a ... -
Nonuniform Fuchsian codes for noisy channels
(2014-11-01)
Article
Accés obertWe develop a new transmission scheme for additive white Gaussian noisy (AWGN) channels based on Fuchsian groups from rational quaternion algebras. The structure of the proposed Fuchsian codes is nonlinear and nonuniform, ... -
Numerical Study of 2D Vertical Axis Wind and Tidal Turbines with a Degree-Adaptive Hybridizable Discontinuous Galerkin Method
(2015)
Capítol de llibre
Accés restringit per política de l'editorialThe book encompasses novel CFD techniques to compute offshore wind and tidal applications. Computational fluid dynamics (CFD) techniques are regarded as the main design tool to explore the new engineering challenges ... -
Stark points and p-adic iterated integrals attached to modular forms of weight one
(Cambridge University Press, 2015-01-01)
Article
Accés obertLet be an elliptic curve over , and let and be odd two-dimensional Artin representations for which is self-dual. The progress on modularity achieved in recent decades ensures the existence of normalized eigenforms , , and ... -
Stark points and the Hida-Rankin p-adic L-function
(2018-02)
Article
Accés obertThis article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8, 2015), which proposes a formula for the transcendental part of a p-adic avatar of the leading term at s=1 of the Hasse–Weil–Artin ...