On certain determinants and related Legendre symbols

DOI10.1007/s40840-024-01650-2MaRDI QIDQ6202044

Han Wang, Zhi-Wei Sun

Publication date: 21 February 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

determinantLucas sequenceLegendre symbolgeneralized trinomial coefficient

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Power residues, reciprocity (11A15) Matrices, determinants in number theory (11C20)

Cites Work

• On some determinants with Legendre symbol entries
• A conjecture of Zhi-Wei Sun on determinants over finite fields
• Advanced determinant calculus: a complement
• Proof of three conjectures on determinants related to quadratic residues
• Legendre symbols related to certain determinants

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