TY - GEN
T1 - Overpartitions and singular overpartitions
AU - Seo, Seunghyun
AU - Yee, Ae Ja
N1 - Funding Information:
S. Seo—The first author was partially supported by a research grant of Kangwon National University in 2015. A.J. Yee—The second author was partially supported by a grant (#280903) from the Simons Foundation.
Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
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
T2 - International Gainesville Number Theory Conference in Honor of Krishna Alladi’s 60th Birthday, 2016
Y2 - 17 March 2016 through 21 March 2016
ER -