Applications of circulant matrices to determinants involving k-th power residues

2021/09/27 by Hai-Liang Wu, Liyuan Wang, Wu, Hai-Liang +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2109.12770

openalex publication_date 2021/09/27 · openalex created_date 2021/10/11 · openalex updated_date 2026/07/28

Abstract

In this paper, by the tools of circulant matrices and hyperelliptic curves over finite fields, we study some arithmetic properties of certain determinants involving the Legendre symbols and k-th residues.

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