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 -