Jan H. Dumke

most citedQuartic Forms in Many Variables

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

math.NT2014★ 2 cited

Quartic Forms in Many Variables

Jan H. Dumke

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 e…

math.NT2013

$p$ -adic Zeros of Quintic Forms

Jan H. Dumke

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.

Quartic Forms in Many Variables

p-adic Zeros of Quintic Forms

$p$ -adic Zeros of Quintic Forms