Change of base in Bailey pairs

Details Change of base in Bailey pairs Change of base in Bailey pairs

1999-09-09

arxiv.org/abs/math/9909053v1

Mathematics

Combinatorics

Scientific paper

Versions of Bailey's lemma which change the base from q to q^2 or q^3 are
given. Iterates of these versions give many new versions of multisum
Rogers-Ramanujan identities. We also prove Melzer's conjectures for the
Fermionic forms of the supersymmetric analogues of Virasoro characters.

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