论文标题

二次对称多项式和Davenport常数的类似物

Quadratic Symmetric Polynomials and an analogue of the Davenport Constant

论文作者

Godinho, Hemar, Lemos, Abílio, Neumann, Victor, Oliveira, Filipe

论文摘要

在本文中,我们定义了通过二次对称的多项式定义的有限场$ \ mathbb {f} _p $的序列的davenport常数的常数$ d(φ,p)$。接下来,我们陈述一系列结果,呈现$ d(φ,p)$的确切值,或为此常数的下限和上限。

In this paper, we define the constant $D(φ, p)$, 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 $D(φ, p)$, or lower and upper bounds for this constant.

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