Zeros of p-adic forms

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

2008-07-14

arxiv.org/abs/0807.2079v1

J. Number Theory 129 (2009), no. 10, 2439--2456.

Mathematics

Number Theory

23 pages

Scientific paper

We show that all $p$-adic quintic forms in at least $n>4562911$ variables
have a non-trivial zero. We also derive new result concerning systems of cubic
and quadratic forms.

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