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DM
1999
81views more  DM 1999»
13 years 5 months ago
Basis partitions and Rogers-Ramanujan partitions
Every partition has, for some d, a Durfee square of side d. Every partition with Durfee square of side d gives rise to a "successive rank vector" r = (r1,
Michael D. Hirschhorn
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
2008
78views more  JCT 2008»
13 years 5 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
JCT
2006
72views more  JCT 2006»
13 years 5 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...
DM
1998
80views more  DM 1998»
13 years 5 months ago
Basis partitions
We study basis partitions, introduced by Hansraj Gupta in 1978. For this family of partitions, we give a recurrence, a generating function, identities relating basis partitions to...
Jennifer M. Nolan, Carla D. Savage, Herbert S. Wil...