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JCT
2011
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13 years 5 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 9 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 10 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 10 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