The 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 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 ...

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 ...

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 ...

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 ...

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 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 ...

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 ...