Change of base in Bailey pairs
classification
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math.NT
keywords
versionsbaileybasechangeanaloguescharactersconjecturesfermionic
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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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