Quadratic Symmetric Polynomials and an analogue of the Davenport Constant

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 bo...

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Hauptverfasser: Godinho, Hemar, Lemos, Abílio, Neumann, Victor, Oliveira, Filipe
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2208.03212