Geodesic
Supernomial Coefficients, Bailey's Lemma and Rogers-Ramanujan-Type Identities. A Survey of Results and Open Problems
Séminaire lotharingien de combinatoire, Tome 42 (1998-1999) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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An elementary introduction to the recently introduced A2 Bailey lemma for supernomial coefficients is presented. As illustration, some A2 q-series identities are (re)derived which are natural analogues of the classical (A1) Rogers-Ramanujan identities and their generalizations of Andrews and Bressoud. The intimately related, but unsolved problems of supernomial inversion, An-1 and higher level extensions are also discussed. This yields new results and conjectures involving An-1 basic hypergeometric series, string functions and cylindric partitions. 

@article{SLC_1998-1999_42_a14,
     author = {S. Ole Warnaar},
     title = {Supernomial {Coefficients,} {Bailey's} {Lemma} and {Rogers-Ramanujan-Type} {Identities.} {A} {Survey} of {Results} and {Open} {Problems}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1998-1999},
     volume = {42},
     url = {http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a14/}
}
TY  - JOUR
AU  - S. Ole Warnaar
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JO  - Séminaire lotharingien de combinatoire
PY  - 1998-1999
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UR  - http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a14/
ID  - SLC_1998-1999_42_a14
ER  - 
%0 Journal Article
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%J Séminaire lotharingien de combinatoire
%D 1998-1999
%V 42
%U http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a14/
%F SLC_1998-1999_42_a14
S. Ole Warnaar. Supernomial Coefficients, Bailey's Lemma and Rogers-Ramanujan-Type Identities. A Survey of Results and Open Problems. Séminaire lotharingien de combinatoire, Tome 42 (1998-1999). http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a14/