## Abstract

This is a written expansion of the talk delivered by the author at the International Conference on Number Theory in Honor of Krishna Alladi for his 60th Birthday, held at the University of Florida, March 17–21, 2016. Here, we derive Bailey pairs that give rise to Rogers–Ramanujan type identities, the product sides of which are known to be the principally specialized characters of the A_{2}^{2} standard modules (l - 2i + 2)Λ_{0} + (i - 1)Λ_{1} for any level l, and i =1,2.

Original language | English |
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Title of host publication | Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016 |

Editors | George E. Andrews, Frank Garvan |

Publisher | Springer New York LLC |

Pages | 713-731 |

Number of pages | 19 |

ISBN (Print) | 9783319683751 |

DOIs | |

State | Published - 2017 |

Event | International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 - Gainesville, United States Duration: Mar 17 2016 → Mar 21 2016 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 221 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Conference

Conference | International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016 |
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Country/Territory | United States |

City | Gainesville |

Period | 03/17/16 → 03/21/16 |

## Keywords

- Affine lie algebras
- Bailey pairs
- Basic hypergeometric series
- Capparelli identities
- Rogers–Ramanujan identities

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