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A matrix partition problem
Authors:Michio Ozeki
Institution:Department of Mathematics, Faculty of Liberal Arts, Nagasaki University, 1–14, Bunkyo-machi, Nagasaki, Japan
Abstract:In the set of positive definite semi-integral symmetric matrices we propose a partition problem. Then by introducing the notion of “additively prime” we obtain the generating function for this problem. Finally we establish the analyticity of the generating function.
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