Title

Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!

Document Type

Presentation

Publication Date

3-16-2010

Abstract

We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.

Sponsorship/Conference/Institution

University of Florida Graduate Number Theory Seminar

Location

Gainesville, FL

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