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Classification of Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$
Published 26 Feb 2021 in math.NT and math.CO | (2102.13578v2)
Abstract: We study quadratic polynomials giving bijections from the integer lattice points of sectors of $\mathbb{R}2$ onto $\mathbb{N}_0$ , called packing polynomials. We determine all quadratic packing polynomials on rational sectors. This generalizes results of Stanton, Nathanson, and Fueter and P\'olya.
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