Integral Matrices of Fixed Rank
نویسندگان
چکیده
Asymptotic formula are derived for the number of n x m matrices of fixed rank k with rational integral coefficients that are contained in a Euclidean ball of radius T in R" *m . It is assumed that n > m > k > 1 are fixed, and the asymptotics are valid as T tends to infinity. The methods used are elementary.
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تاریخ انتشار 2010