GÖllnitz-Gordon identities and parity questions

Sun Kim; Ae Ja Yee

doi:10.1016/j.ejc.2010.10.006

GÖllnitz-Gordon identities and parity questions

Sun Kim, Ae Ja Yee

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

Original language	English (US)
Pages (from-to)	288-293
Number of pages	6
Journal	European Journal of Combinatorics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/j.ejc.2010.10.006
State	Published - Feb 2011

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2010.10.006

Cite this

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title = "G{\"O}llnitz-Gordon identities and parity questions",

abstract = "Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the G{\"O}llnitz-Gordon identities and their generalizations.",

author = "Sun Kim and Yee, {Ae Ja}",

note = "Funding Information: The authors are grateful to the referee for a careful reading of the paper and helpful comments. The authors also would like to thank Bruce Berndt for his encouragement. The second author was partially supported by National Science Foundation Grant DMS-0801184 and grant H98230-10-1-0205 from the National Security Agency.",

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AU - Yee, Ae Ja

N1 - Funding Information: The authors are grateful to the referee for a careful reading of the paper and helpful comments. The authors also would like to thank Bruce Berndt for his encouragement. The second author was partially supported by National Science Foundation Grant DMS-0801184 and grant H98230-10-1-0205 from the National Security Agency.

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N2 - Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

AB - Parity has played a role in partition identities from the beginning. In his recent paper, George Andrews investigated a variety of parity questions in partition identities. At the end of his paper, he then listed 15 open problems. The purpose of this paper is to provide solutions to the first three problems from his list, which are related to the GÖllnitz-Gordon identities and their generalizations.

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ER -

GÖllnitz-Gordon identities and parity questions

Abstract

All Science Journal Classification (ASJC) codes

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