A bijection which implies Melzer's polynomial identities: the $χ_{1,1}^{(p,p+1)}$ case

Details A bijection which implies Melzer's polynomial identities: the $χ_{1,1}^{(p,p+1)}$ case A bijection which implies Melzer's polynomial identities: the $χ_{1,1}^{(p,p+1)}$ case

1995-01-20

arxiv.org/abs/hep-th/9501088v1

Lett. Math. Phys. 36 (1996) 145

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, 3 figures

Scientific paper

10.1007/BF00714377

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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