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Determinants of Random Matrices and Jack Polynomials of Rectangular Shape

โœ Scribed by G. E. Andrews; I. P. Goulden; D. M. Jackson

Book ID
108542742
Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
122 KB
Volume
110
Category
Article
ISSN
0022-2526

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Let Zm be the ring of integers modulo m. The m-rank of an integer matrix is the largest order of a square submatrix whose determinant is not divisible by m. We determine the probability that a random rectangular matrix over ~Ym has a specified m-rank and, if it is square, a specified determinant. Th