𝑝-adic zeros of quintic forms

Dumke, Jan

doi:10.1090/mcom/3182

$p$-adic zeros of quintic forms
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by Jan H. Dumke PDF

Math. Comp. 86 (2017), 2469-2478 Request permission

Abstract:

It is shown that a quintic form over a $p$-adic field with at least $26$ variables has a non-trivial zero, providing that the cardinality of the residue class field exceeds $9$.

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