APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING TH POWER RESIDUES

DOI10.1017/S0004972722000053zbMath1500.11025arXiv2109.12770OpenAlexW4210874761MaRDI QIDQ5867861

Li-Yuan Wang, Hai-Liang Wu

Publication date: 19 September 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12770

zbMATH Keywords

determinantcirculant matrixLegendre symbol

Mathematics Subject Classification ID

Power residues, reciprocity (11A15) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• On the evaluation of R. Chapman's ``evil determinant
• On some determinants with Legendre symbol entries
• Nonintersecting paths, pfaffians, and plane partitions
• Determinants concerning Legendre symbols
• On some determinants involving Jacobi symbols
• Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices
• Advanced determinant calculus: a complement
• On R. Chapman's ``evil determinant: case p≡1±od4
• On Circulant Matrices
• Determinants of Legendre symbol matrices
• Some cyclotomic matrices

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