The number of $n\times n$ matrices of rank $r$ and trace $\alpha$ over a finite field
Buckhiester, Philip G.
Duke Math. J., Tome 39 (1972) no. 1, p. 695-699 / Harvested from Project Euclid
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Publié le : 1972-12-14
Classification:  15A33 
@article{1077380573,
     author = {Buckhiester, Philip G.},
     title = {The number of $n\times n$ matrices of rank $r$ and trace $\alpha$ over a finite field},
     journal = {Duke Math. J.},
     volume = {39},
     number = {1},
     year = {1972},
     pages = { 695-699},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1077380573}
}

Buckhiester, Philip G. The number of $n\times n$ matrices of rank $r$ and trace $\alpha$ over a finite field. Duke Math. J., Tome 39 (1972) no. 1, pp.  695-699. http://gdmltest.u-ga.fr/item/1077380573/