Asymptotic enumeration of integer matrices with large equal row and column sums

Abstract

Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m×n matrices over {0,1,2,...} with each row summing to s and each column summing to t. Equivalently, M(m, s; n, t) counts 2-way contingency tables of order m×n suc Show more