On some Toeplitz-type matrices over finite fields

被引：0
|
作者：
She, Yue-Feng [1 ]
Wang, Han [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 91卷
基金：
中国国家自然科学基金;
关键词：
Determinants; Permanents; Matrices over finite fields;
D O I：
10.1016/j.ffa.2023.102268
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some arithmetic properties of certain Toeplitz-type matrices over finite fields. For example, suppose {& alpha;1, ... , & alpha;n} are all the nonzero k-th powers in a finite field and for 1 � i, j � n, we set 1 & alpha;i-& alpha;jif i = j, xij = 0 if i = j. We give an explicit formula for the characteristic polynomial of [xij]1 �i,j',n and confirm several conjectures posed by ZhiWei Sun.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：11
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