调和多项式的零点、临界双纽线与焦散
复变函数
2016-01-21 v2
摘要
在本文中,我们显著改进了关于复调和多项式零点最大个数的若干已知估计。我们还研究了临界双纽线的曲率与其对焦散几何及调和多项式零点个数的影响之间的关系。
引用
@article{arxiv.1508.04439,
title = {Zeros of harmonic polynomials, critical lemniscates and caustics},
author = {Dmitry Khavinson and Seung-Yeop Lee and Andres Saez},
journal= {arXiv preprint arXiv:1508.04439},
year = {2016}
}
备注
18 pages, 7 figures, Theorem 1 corrected and a remark added