Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$

Madeline Brandt

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arXiv · 1409.0063

Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$

Madeline Brandt

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Abstract

A polynomial $p(x,y)$ on a region $S$ in the plane is called a packing polynomial if the restriction of $p(x,y)$ to $S\cap \mathbb{Z}^2$ yields a bijection to $\mathbb{N}$. In this paper, we determine all quadratic packing polynomials on rational sectors of $\mathbb{R}^2$.

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BibTeX RIS

Madeline Brandt. 2014-08-29. Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$. https://arxiv.org/abs/1409.0063

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