On generalised Legendre matrices involving roots of unity over finite fields
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Publication:6666561
Report a bugQ6666561 DOI10.1017/s0004972724000303MaRDI QIDQ6666561
Yubo Li, Ning-Liu Wei, Hai-Liang Wu
Publication date: 20 January 2025
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices, determinants in number theory (11C20)
Cites Work
- On the evaluation of R. Chapman's ``evil determinant
- On some determinants with Legendre symbol entries
- On some determinants involving Jacobi symbols
- A conjecture of Zhi-Wei Sun on determinants over finite fields
- Elliptic curves over \(\mathbb{F}_p\) and determinants of Legendre matrices
- Advanced determinant calculus: a complement
- Cyclotomic matrices and hypergeometric functions over finite fields
- On R. Chapman's ``evil determinant: case p≡1±od4
- The Congruence (p - 1/2)! ≡± 1 (mod p)
- Determinants of Legendre symbol matrices
- APPLICATIONS OF CIRCULANT MATRICES TO DETERMINANTS INVOLVING TH POWER RESIDUES
- Legendre symbols related to certain determinants
- A variant of some cyclotomic matrices involving trinomial coefficients
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