Dyson’s New Symmetry and Generalized Rogers-Ramanujan Identities
作者： Cilanne Boulet
DOI: 10.1007/S00026-010-0055-4
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摘要: We present a generalization, which we call (k, m)-rank, of Dyson’s notion rank to integer partitions with k successive Durfee rectangles and give two combinatorial symmetries associated this new definition. prove these bijectively. Using the proof generalized Rogers-Ramanujan identities. also describe relationship between m)-rank Garvan’s k-rank.
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