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arXiv · 2208.03212

Quadratic Symmetric Polynomials and an analogue of the Davenport Constant

Hemar Godinho·Abílio Lemos·Victor Neumann·Filipe Oliveira
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Abstract

In this paper, we define the constant $D(\varphi, p)$, an analogue for the Davenport constant, for sequences on the finite field $\mathbb{F}_p$, defined via quadratic symmetric polynomials. Next, we state a series of results presenting either the exact value of $D(\varphi, p)$, or lower and upper bounds for this constant.

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Hemar Godinho, Abílio Lemos, Victor Neumann, Filipe Oliveira. 2022-08-05. Quadratic Symmetric Polynomials and an analogue of the Davenport Constant. https://arxiv.org/abs/2208.03212

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