## On determinants of random symmetric matrices over
*Z*_{m}

101. R. P. Brent and
B. D. McKay,
On determinants of random symmetric matrices over
*Z*_{m} ,
*Proceedings Second International Conference on Combinatorial
Mathematics and Computing* (edited by B. D. McKay),
* Ars Combinatoria* 26A (1988), 57-64.
MR 90g:05015, 89j:05001.
Also Technical Report TR-CS-88-03, February 1988
(republished October 1998), 8 pp.
arXiv:1004.5440v1

Abstract:
dvi (2K),
pdf (27K),
ps (25K).

Technical Report:
dvi (14K),
pdf (146K),
ps (61K).

## Abstract

We determine the probability that a random
*n* × *n* symmetric matrix
over {1, 2, ... , *m*}
has determinant divisible by *m*.
## Comments

For related work on random unsymmetric matrices,
see [94].
Go to next publication

Return to Richard Brent's index page