A bijection which implies Melzer's polynomial identities: the χ1,1(p,p+1) case
O. Foda, S. O. Warnaar
Abstract
We obtain a bijection between certain lattice paths and partitions. This implies a proof of polynomial identities conjectured by Melzer. In a limit, these identities reduce to Rogers--Ramanujan-type identities for the χ1,1(p,p+1)(q) Virasoro characters, conjectured by the Stony Brook group.
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