Change of base in Bailey pairs
Combinatorics
2007-05-23 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.math/9909053,
title = {Change of base in Bailey pairs},
author = {David Bressoud and Mourad Ismail and Dennis Stanton},
journal= {arXiv preprint arXiv:math/9909053},
year = {2007}
}