A variant of some cyclotomic matrices involving trinomial coefficients

DOI10.4064/cm9115-6-2023arXiv2211.13633MaRDI QIDQ6146775

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Publication date: 31 January 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.13633

zbMATH Keywords

finite fieldsdeterminantscentral trinomial coefficients

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Exponential and trigonometric functions (33B10) Matrices, determinants in number theory (11C20)

Cites Work

• On the evaluation of R. Chapman's ``evil determinant
• On certain character matrices
• On some determinants with Legendre symbol entries
• Determinants concerning Legendre symbols
• 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
• Determinants of Legendre symbol matrices
• Some cyclotomic matrices

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