Hermitian matrices of roots of unity and their characteristic polynomials

We investigate spectral conditions on Hermitian matrices of roots of unity. Our main results are conjecturally sharp upper bounds on the number of residue classes of the characteristic polynomial of such matrices modulo ideals generated by powers of (1−ζ), where ζ is a root of unity. We also prove a...

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Main Authors: Greaves, Gary Royden Watson, Woo, Chin Jian
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2023
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在線閱讀:https://hdl.handle.net/10356/170926
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