Condições de solubilidade p-ádica para formas aditivas de grau ímpar

AUTOR(ES)

Juliana Paula Riani Motinha

DATA DE PUBLICAÇÃO

2008

RESUMO

This work is based on articles of Tietäväinen and Low, Pitman and Wolff, where both investigate conditions for p-ádic solubility from additive forms, in n variables, of odd degree k. It is checked for a form that, if n [(log 2)−1k log k], then this form has non-trivial p-ádics zeros, for any prime p. Subsequently, we studied systems of R forms with the same degree. An important feature of this work is the technique of matrices partition and a different definition of normalised system, different from that introduced by Davenport and Lewis. With this new approach, we have a significant improvement in the results obtained by Davenport and Lewis

ASSUNTO(S)

formas aditivas algebra additive forms particionable matrices normalização odd degree matrizes particionáveis grau ímpar normalisation

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