On determinants of random symmetric matrices over Z_m
Combinatorics
2010-05-03 v1
Abstract
We determine the probability that a random n x n symmetric matrix over {1, 2, ... , m} has determinant divisible by m.
Cite
@article{arxiv.1004.5440,
title = {On determinants of random symmetric matrices over Z_m},
author = {Richard P. Brent and Brendan D. McKay},
journal= {arXiv preprint arXiv:1004.5440},
year = {2010}
}
Comments
8 pages. An old Technical Report, submitted for archival purposes. For further details, see http://wwwmaths.anu.edu.au/~brent/pub/pub101.html