Determinants of Legendre symbol matrices

DOI10.4064/aa115-3-4zbMath1073.15006OpenAlexW1973978430MaRDI QIDQ4829579

Robin J. Chapman

Publication date: 29 November 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa115-3-4

zbMATH Keywords

determinantsquadratic residue codesLegendre symbol matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Numerical computation of determinants (65F40) Algebraic systems of matrices (15A30) Power residues, reciprocity (11A15) Relations with coding theory (11H71) Matrices, determinants in number theory (11C20)

Related Items (18)

Proof of three conjectures on determinants related to quadratic residues ⋮ On certain determinants involving Legendre symbols ⋮ On a polynomial involving roots of unity and its applications ⋮ Cyclotomic matrices and hypergeometric functions over finite fields ⋮ Legendre symbols related to certain determinants ⋮ On the evaluation of R. Chapman's ``evil determinant ⋮ A variant of some cyclotomic matrices involving trinomial coefficients ⋮ On certain cyclotomic matrices involving biquadratic residues ⋮ q-ANALOGUES OF WILSON'S THEOREM ⋮ A prime sensitive Hankel determinant of Jacobi symbol enumerators ⋮ On some determinants with Legendre symbol entries ⋮ Determinants concerning Legendre symbols ⋮ Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices ⋮ On some determinants involving Jacobi symbols ⋮ Quadratic residues and related permutations and identities ⋮ A conjecture of Zhi-Wei Sun on determinants over finite fields ⋮ APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING TH POWER RESIDUES ⋮ Products of quadratic residues and related identities

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