A Gorni-Zampieri Pair of a Homogeneous Polynomial Map

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Abstract

In this paper, we improve the algorithm and rewrite the function make-Pairing for computing a Gorni-Zampieri pair of a homogeneous polynomial map. As an application, some counterexamples to PLDP (dependence problem for power linear maps) are obtained, including one in the lowest dimension ($n = 48$) in all such counterexamples one has found up to now.

Keywords:

Gorni-Zampieri pair homogeneous dependence problem power linear map.
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A Gorni-Zampieri Pair of a Homogeneous Polynomial Map. (2021). Communications in Mathematical Research, 29(4), 320-328. https://www.global-sci.com/index.php/cmr/article/view/8783