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A BURGE TREE OF VIRASORO-TYPE POLYNOMIAL IDENTITIES

A BURGE TREE OF VIRASORO-TYPE POLYNOMIAL IDENTITIES

Using a summation formula due to Burge, and a combinatorial identity between partition pairs, we obtain an infinite tree of q-polynomial identities for the Virasoro characters [Formula: see text], dependent on two finite size parameters M and N, in the cases where: (1) p and p′ are coprime integers that …