Spectral properties of hermitean matrices whose entries are roots of unity

• Main Author: Woo, Chin Jian
• Other Authors: Bernhard Schmidt
• Format: Thesis-Doctor of Philosophy
• Language: English
• Published: Nanyang Technological University 2022
• Subjects: Science::Mathematics
• Online Access: https://hdl.handle.net/10356/155732
• Institution: Nanyang Technological University

Let H_n(q) denote the set of all n by n Hermitean matrices whose entries are qth roots of unity. This thesis studies the spectral properties of matrices in H_n(q) for n, q in natural number N. We determine (conjecturally sharp) upper bounds for the number of residue classes of characteristic poly...