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) |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Country | United States |
| City | Gainesville |
| Period | 3/17/16 → 3/21/16 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
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Overpartitions and singular overpartitions. / Seo, Seunghyun; Yee, Ae Ja.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi’s 60th Birthday, 2016. ed. / George E. Andrews; Frank Garvan. Springer New York LLC, 2017. p. 693-711 (Springer Proceedings in Mathematics and Statistics; Vol. 221).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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UR - http://www.scopus.com/inward/citedby.url?scp=85042109726&partnerID=8YFLogxK
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 -