On determinants of random symmetric matrices over Z_m

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arxiv 1004.5440 v1 pith:SHVEAOMW submitted 2010-04-30 math.CO

Richard P. Brent , Brendan D. McKay This is my paper · ORCID

classification math.CO

keywords randomsymmetricdeterminantdeterminantsdeterminedivisiblematricesmatrix

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

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