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

Author:

Wei Hongzeng,Zhang Yibin

Publisher

Elsevier BV

Subject

Applied Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability

Reference5 articles.

1. Guass sums and the number of solutions to the matrix equation XAX′=0 over GF(2ν);Buckhiester;Acta Arith.,1973

2. Representations by skew forms in a finite field;Carlitz;Arch. Math.,1954

3. A skew matrix equation over a finite field;Hodges;Arch. Math.,1966

4. Wan, Z., 1993. Geometry of classical groups over finite fields. Student literature, Lund. 1993.

5. Representations of forms by forms in a finite field;Wan;Finite Fields Appl.,1995

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1. On the consistency of the matrix equation $$X^\top A X=B$$ when B is symmetric: the case where CFC(A) includes skew-symmetric blocks;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-01-28

2. On the Consistency of the Matrix Equation $$X^\top A X=B$$ when B is Symmetric;Mediterranean Journal of Mathematics;2021-01-21

3. Words and characters in finite p-groups;Journal of Algebra;2017-09

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