p-adic Zeros of Quintic Forms

2013/08/05 by Jan H. Dumke, Dumke, Jan H. · 1 citation
Mathematics · #11D88 (11D72 #11E76) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D88

paper · pdf · doi:10.48550/arxiv.1308.0999

Minor corrections

arxiv created 2014/08/16 · arxiv updated 2014/08/19

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.

Cited by

• Effective Bertini theorems and zeros of p-adic forms of degrees 7 and 11

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