Cyclotomic matrices over real quadratic integer rings
Number Theory
2013-09-10 v2
Abstract
We classify all cyclotomic matrices over real quadratic integer rings and we show that this classification is the same as classifying cyclotomic matrices over the compositum all real quadratic integer rings. Moreover, we enumerate a related class of symmetric matrices; those matrices whose eigenvalues are contained inside the interval [-2,2] but whose characteristic polynomials are not in Z[x].
Cite
@article{arxiv.1201.6217,
title = {Cyclotomic matrices over real quadratic integer rings},
author = {Gary Greaves},
journal= {arXiv preprint arXiv:1201.6217},
year = {2013}
}
Comments
13 pages