volume 30, issue 4, P623-637 2003
DOI: 10.1007/s00454-003-2850-8
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Abstract: All means (even continuous) sanctify the discrete end. Doron Zeilberger 2 Abstract: The n th Birkhoff polytope is the set of all doubly stochastic n × n matrices, that is, those matrices with nonnegative real coefficients in which every row and column sums to one. A wide open problem concerns the volumes of these polytopes, which have been known for n ≤ 8. We present a new, complex-analytic way to compute the Ehrhart polynomial of the Birkhoff polytope, that is, the function counting the integer points in the…

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