Abstract
In a square equisum matrix, all row and column sums are equal. In a rectangular equisum matrix, the common row sum is a rational multiple of the common column sum. This paper explores properties of equisum matrices, in particular, the preservation of the equisum condition under a variety of linear, nonlinear and pattern-maintaining transformations. A principal tool employed is a representation via the Fourier matrix or the circulant projectors associated with it.
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