### Abstract

Singular overpartitions, which were defined by George Andrews, are overpartitions whose Frobenius symbols have at most one overlined entry in each row. In his paper, Andrews obtained interesting combinatorial results on singular overpartitions, one of which relates a certain type of singular overpartition with a subclass of overpartitions. In this paper, we provide a combinatorial proof of Andrews’s result, which answers one of his open questions.

Original language | English (US) |
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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 | 693-711 |

Number of pages | 19 |

ISBN (Print) | 9783319683751 |

DOIs | |

State | Published - Jan 1 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 |

### Other

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

City | Gainesville |

Period | 3/17/16 → 3/21/16 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016*(pp. 693-711). (Springer Proceedings in Mathematics and Statistics; Vol. 221). Springer New York LLC. https://doi.org/10.1007/978-3-319-68376-8_38

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*Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016.*Springer Proceedings in Mathematics and Statistics, vol. 221, Springer New York LLC, pp. 693-711, International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016, Gainesville, United States, 3/17/16. https://doi.org/10.1007/978-3-319-68376-8_38

**Overpartitions and singular overpartitions.** / Seo, Seunghyun; Yee, Ae Ja.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Overpartitions and singular overpartitions

AU - Seo, Seunghyun

AU - Yee, Ae Ja

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Singular overpartitions, which were defined by George Andrews, are overpartitions whose Frobenius symbols have at most one overlined entry in each row. In his paper, Andrews obtained interesting combinatorial results on singular overpartitions, one of which relates a certain type of singular overpartition with a subclass of overpartitions. In this paper, we provide a combinatorial proof of Andrews’s result, which answers one of his open questions.

AB - Singular overpartitions, which were defined by George Andrews, are overpartitions whose Frobenius symbols have at most one overlined entry in each row. In his paper, Andrews obtained interesting combinatorial results on singular overpartitions, one of which relates a certain type of singular overpartition with a subclass of overpartitions. In this paper, we provide a combinatorial proof of Andrews’s result, which answers one of his open questions.

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U2 - 10.1007/978-3-319-68376-8_38

DO - 10.1007/978-3-319-68376-8_38

M3 - Conference contribution

AN - SCOPUS:85042109726

SN - 9783319683751

T3 - Springer Proceedings in Mathematics and Statistics

SP - 693

EP - 711

BT - Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016

A2 - Andrews, George E.

A2 - Garvan, Frank

PB - Springer New York LLC

ER -