2016-05-192015-11-10LELIS, J. C. Uma confirmação da conjectura de Artin para pares de formas diagonais de graus 2 e 3. 2015. 83 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/5567In this work we present some methods used in the study of systems of additive forms on local fields, and a proof for a particular case of Artin’s Conjecture, which says that every systems with R additive forms of degrees k1; :::;kR has non trivial p-adic solution for any prime p, if the number s of variables is higher than k2 1 +k2 2 + +k2R, given by Wooley [12], where he shows that G(3;2) = 11. Keywordsapplication/pdfAcesso AbertoConjectura de ArtinPares de formas aditivasNúmeros p-ádicosP-normalização de sistemas de formas aditivasArtin’s conjecturePairs of additive formsP-adic numberP-normalization for systems of additive formsCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação