三次 Legendre 乘子序列的不存在性
复变函数
2015-05-05 v2
摘要
本文的主要结果是证明了最近被猜想成立的三次 Legendre 乘子序列的不存在性。我们还利用一种方法给出了线性 Legendre 乘子序列不存在性的另一种证明，该方法允许对由更高次多项式插值的序列进行更系统化的处理。
关键词
引用
@article{arxiv.1310.4563,
title = {The non-existence of cubic Legendre multiplier sequences},
author = {Tamás Forgács and James Haley and Rebecca Menke and Carlee Simon},
journal= {arXiv preprint arXiv:1310.4563},
year = {2015}
}
备注
Several typos were corrected. Sections 2 and 3 were reorganized with added definitions. The appendix was incorporated into the body, the statement and proof of Lemma 4 was corrected. The proofs of Lemma 2 and Theorem 5 were streamlined, and several new references were added