准晶体上二次型的值及一个相关问题
数论
2018-02-05 v2 动力系统
摘要
本文研究割投影集点上二次型的值集合。我们将建立确保该值集合稠密的条件。我们的方法涉及齐性动力学，并将在此背景下证明一个轨道闭包分类型结果。该结果有额外应用。特别地，我们将其用于研究由一二次型与若干线性型组成的系统的整数值集合。
引用
@article{arxiv.1711.00411,
title = {Values of quadratic forms on quasicrystals and a related problem},
author = {Oliver Sargent},
journal= {arXiv preprint arXiv:1711.00411},
year = {2018}
}
备注
18 pages - There is a serious mistake in the proofs of Lemma 2.3 and Theorem 2.1 and also a mistake in the proof of Lemma 4.5. These mistakes have been pointed out to me by Rene Ruhr to whom I am now greatly indebted