The number of solutions to the alternate matrix equation over a finite field and a \(q\)-identity

DOI10.1016/S0378-3758(00)00265-2zbMath0983.15014OpenAlexW2019668591WikidataQ127251276 ScholiaQ127251276MaRDI QIDQ5934185

Hongzeng Wei, Yibin Zhang

Publication date: 23 April 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00265-2

zbMATH Keywords

symplectic geometryfinite field\(q\)-hypergeometric series\(q\)-identityalternate matrix equation

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (3)

Words and characters in finite \(p\)-groups ⋮ On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks ⋮ On the consistency of the matrix equation \(X^\top A X=B\) when \(B\) is symmetric

Cites Work

• Unnamed Item
• Representations of forms by forms in a finite field
• A skew matrix equation over a finite field
• Representations by skew forms in a finite field
• Gauss sums and the number of solutions to the matrix equation $XAX^T =0$ over $GF(2^y)$

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