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The Number of Vector Partitions of n (Counted According to the Weight) with the Crank m
This article shows how to find all vector partitions of any positive integral values of n, but only all vector partitions of 4, 5 and 6 are shown by algebraically. These must be satisfied by the definitions of crank of vector partitions.
Vector Partitions, Crank, Congruences, Modulo.
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