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JCT
2011
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12 years 11 months ago
The method of combinatorial telescoping
We present a method for proving q-series identities by combinatorial telescoping in the sense that one can transform a bijection or classification of combinatorial objects into a ...
William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun
EJC
2010
13 years 3 months ago
A proof of Bressoud's conjecture related to the Rogers-Ramanujan identities
The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the...
Shishuo Fu
JCT
2006
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13 years 4 months ago
On the work of Basil Gordon
A review is given of several aspects of the work of Basil Gordon. These include: Rogers-Ramanujan identities, plane partitions, the method of weighted words, modular forms and part...
Krishnaswami Alladi, George E. Andrews, Ken Ono, R...
JCT
2008
78views more  JCT 2008»
13 years 4 months ago
A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
Andrew V. Sills