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JCT
2011
62views more  JCT 2011»
9 years 3 months ago
Anti-lecture hall compositions and overpartitions
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 con...
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. ...
JCT
2006
129views more  JCT 2006»
9 years 8 months ago
A combinatorial proof of the Rogers-Ramanujan and Schur identities
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direc...
Cilanne Boulet, Igor Pak
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