Instances of Gordon's Partition Theorem 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.
University of Florida Graduate Number Theory Seminar
Sills, Andrew V..
"Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!."
Mathematical Sciences Faculty Presentations.