Mathematical Sciences: Faculty Presentations (1991-2022)
Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!
Document Type
Presentation
Presentation Date
3-16-2010
Copyright
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Abstract or Description
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
Recommended Citation
Sills, Andrew V..
2010.
"Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 455.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/455
