Zeros of p-adic forms

Details Zeros of p-adic forms Zeros of p-adic forms

2008-05-05

arxiv.org/abs/0805.0534v2

Mathematics

Number Theory

Misprints and other errors corrected, leading to a small improvement

Scientific paper

A variant of Brauer's induction method is developed. It is shown that quartic
p-adic forms with at least 9127 variables have non-trivial zeros, for every p.
For odd p considerably fewer variables are needed. There are also subsidiary
new results concerning quintic forms, and systems of forms.

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