paper

On determinants of random symmetric matrices over Z_m

arXiv:1004.5440

Abstract

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

8 pages. An old Technical Report, submitted for archival purposes. For further details, see http://wwwmaths.anu.edu.au/~brent/pub/pub101.html

On determinants of random symmetric matrices over Z_m · wovepaper