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arxiv: hep-th/9501088 · v1 · pith:W4PE4HYRnew · submitted 1995-01-20 · ✦ hep-th

A bijection which implies Melzer's polynomial identities: the chi_(1,1)^((p,p+1)) case

classification ✦ hep-th
keywords identitiesbijectionconjecturedimpliesmelzerpolynomialbrookcase
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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 $\chi_{1,1}^{(p,p+1)}(q)$ Virasoro characters, conjectured by the Stony Brook group.

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