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arXiv · 1405.7064

Quartic Forms in Many Variables

Jan H. Dumke
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Abstract

We show that a quartic $p$-adic form with at least $3192$ variables possesses a non-trivial zero. We also prove new results on systems of cubic, quadratic and linear forms. As an example, we show that for a system comprising two cubic forms $132$ variables are sufficient.

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Jan H. Dumke. 2014-05-27. Quartic Forms in Many Variables. https://arxiv.org/abs/1405.7064

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