Graduate Number Theory Seminar

DATE: Tuesday, March 16 (2010), at 4:05pm  
SPEAKER: Andrew Sills (Georgia Southern University)
TITLE: Instances of Gordon's partition theorem that have been hiding in Slater's list!

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.

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Last update made Mon Mar 15 20:14:01 EDT 2010.