Abstract
The Rogers-Ramanujan identities are among the most famous in the theory of integer partitions. For many years, it was thought that they could not be generalized, so it came as a big surprise when Basil Gordon found an infinite family of partition identities that generalized Rogers-Ramanujan in 1961. Since the publication of Gordon's result, it has been suspected that a certain special case of his identity should provide a combinatorial interpretation for a set of three analytic identities known as the Rogers-Selberg identities. I will discuss a bijection between two relevant classes of integer partitions that explains the connection between Gordon and Rogers-Selberg. This work appeared in JCTA 115 (2008) 67-83.
Original language | American English |
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State | Published - Apr 18 2009 |
Event | Southeast Regional Meeting on Numbers (SERMON) - Duration: Apr 18 2009 → … |
Conference
Conference | Southeast Regional Meeting on Numbers (SERMON) |
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Period | 04/18/09 → … |
Keywords
- Gordon's theorem
- Rogers-Selberg identities
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics