We conjecture polynomial identities which imply Rogers{Ramanujan type identities for branching functions associated with the cosets (G(1))‘¡1›(G(1))1=(G(1))‘, with G=An¡1 ( ‘ ‚ 2), Dn¡1 ( ‘ ‚ 2), E6;7;8 ( ‘ = 2). In support of our conjectures we establish the correct behaviour under level-rank duality for G=An¡1 and show that the A-D-E Rogers{Ramanujan identities have the expected q! 1 ¡ asymptotics in terms of dilogarithm identities. Possible generaliza-tions to arbitrary cosets are also discussed brie°y
The level two string functions are calculated exactly for all simply laced Lie algebras, using a lad...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
AbstractThe level two string functions are calculated exactly for all simply laced Lie algebras, usi...
Abstract. One of the many amazing things Ramanujan did in his lifetime was to list 40 identities inv...
We give simple elementary proofs of Bressoud’s and Schur’s polynomial versions of the Rogers-Ramanuj...
AbstractUsing the recursions satisfied by the polynomials which converge to the right-hand sides of ...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
The level two string functions are calculated exactly for all simply laced Lie algebras, using a lad...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
AbstractThe level two string functions are calculated exactly for all simply laced Lie algebras, usi...
Abstract. We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetri...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
We study q analogues of two well-known polynomial identities. In some cases we get simple results w...
We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities fo...
We highlight the role of q-series techniques in proving identities arising from knot theory. In part...
The level two string functions are calculated exactly for all simply laced Lie algebras, using a lad...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
AbstractThe level two string functions are calculated exactly for all simply laced Lie algebras, usi...
Abstract. One of the many amazing things Ramanujan did in his lifetime was to list 40 identities inv...
We give simple elementary proofs of Bressoud’s and Schur’s polynomial versions of the Rogers-Ramanuj...
AbstractUsing the recursions satisfied by the polynomials which converge to the right-hand sides of ...
Abstract. A new polynomial analogue of the Rogers–Ramanujan identities is proven. Here the product-s...
The level two string functions are calculated exactly for all simply laced Lie algebras, using a lad...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
AbstractThe level two string functions are calculated exactly for all simply laced Lie algebras, usi...
Abstract. We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetri...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
We study q analogues of two well-known polynomial identities. In some cases we get simple results w...
We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities fo...
We highlight the role of q-series techniques in proving identities arising from knot theory. In part...
The level two string functions are calculated exactly for all simply laced Lie algebras, using a lad...
We give several expansion and identities involving the Ramanujan function Aq and the Stieltjes–Wiger...
AbstractThe level two string functions are calculated exactly for all simply laced Lie algebras, usi...