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Title: El Teorema de Hasse-Minkowski
Author: Arnalot Farràs, Joan
Director/Tutor: Guitart Morales, Xavier
Keywords: Formes quadràtiques
Treballs de fi de grau
Nombres p-àdics
Anàlisi diofàntica
Quadratic forms
Bachelor's theses
p-adic numbers
Diophantine analysis
Issue Date: 2-Jul-2020
Abstract: [en] Hasse-Minkowski theorem states that a quadratic form has a non-trivial solution in $\mathbb{Q}$ if and only if there is a non-trivial solution in every completition. In this work we will study these completitions, their properties and their solutions in polynomials, the proof of the theorem and some applications and counterexamples in other polynomials than quadratic forms.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Xavier Guitart Morales,
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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