Classification of Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$
Number Theory
2023-06-09 v2 Combinatorics
Abstract
We study quadratic polynomials giving bijections from the integer lattice points of sectors of onto , called packing polynomials. We determine all quadratic packing polynomials on rational sectors. This generalizes results of Stanton, Nathanson, and Fueter and P\'olya.
Keywords
Cite
@article{arxiv.2102.13578,
title = {Classification of Quadratic Packing Polynomials on Sectors of $\mathbb{R}^2$},
author = {Madeline Brandt and Kåre Schou Gjaldbæk},
journal= {arXiv preprint arXiv:2102.13578},
year = {2023}
}
Comments
18 pages, 9 figures