We count m x n non-negative integer matrices (contingency tables) with prescribed row and column sums (margins). For a wide class of smooth margins we establish a computationally efficient asymptotic formula approxi-mating the number of matrices within a relative error which approaches 0 as m and n grow.
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机译：我们用规定的行和列之和（边距）计算m x n个非负整数矩阵（列联表）。对于一大类平滑裕度，我们建立了一个计算上有效的渐近公式，该公式使相对误差内的矩阵数近似，随着m和n的增长，其趋近于0。
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