APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING $\boldsymbol {k}$ TH POWER RESIDUES

APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING $\boldsymbol {k}$ TH POWER RESIDUES

We use circulant matrices and hyperelliptic curves over finite fields to study some arithmetic properties of certain determinants involving Legendre symbols and kth power residues.

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2022-10, Vol.106 (2), p.243-253
Hauptverfasser: WU, HAI-LIANG, WANG, LI-YUAN
Format: Artikel
Sprache:eng
Schlagworte:
Fields (mathematics)
Linear algebra
Numbers
Residues
Theorems
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We use circulant matrices and hyperelliptic curves over finite fields to study some arithmetic properties of certain determinants involving Legendre symbols and kth power residues.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972722000053