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arXiv:1308.0999 [math.NT]AbstractReferencesReviewsResources

$p$-adic Zeros of Quintic Forms

Jan H. Dumke

Published 2013-08-05, updated 2014-08-16Version 4

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.

Comments: Minor corrections
Categories: math.NT
Subjects: 11D88, 11D72, 11E76
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