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math.CO2010
Anti-lecture Hall Compositions and Overpartitions
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi
We show that the number of anti-lecture hall compositions of n with the first entry not exceeding k-2 equals the number of overpartitions of n with non-overlined parts not congruen…
math.CO2010
Involutions for Rogers-Ramanujan-Gordon Type Identities with Parity Restrictions
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi
We find involutions for three Rogers-Ramanujan-Gordon type identities obtained by Andrews on the generating functions for partitions with part difference and parity restrictions.