Overpartitions and singular overpartitions

Seunghyun Seo; Ae Ja Yee

doi:10.1007/978-3-319-68376-8_38

Overpartitions and singular overpartitions

Seunghyun Seo, Ae Ja Yee

Mathematics

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

1 Scopus citations

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	https://doi.org/10.1007/978-3-319-68376-8_38
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

Seo, S., & Yee, A. J. (2017). Overpartitions and singular overpartitions. In G. E. Andrews, & F. Garvan (Eds.), 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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Seo, S & Yee, AJ 2017, Overpartitions and singular overpartitions. in GE Andrews & F Garvan (eds), 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.

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

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Access to Document

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