# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Xavier Guitart Morales,

# metadata.dc.description.abstract[].value
[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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Joan Arnalot Farràs, 2020

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques