Mathematical Sciences: Faculty Presentations (1991-2022)
On Dyson’s q-Series Identities
Document Type
Presentation
Presentation Date
2-22-2007
Copyright
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Abstract or Description
Before receiving his B.A. from Cambridge University, Freeman Dyson served as referee for a pair of seminal papers by W. N. Bailey on the derivation of identities of Rogers-Ramanujan type. Dyson wound up contributing a number of Rogers-Ramanujan type identities of his own to Bailey's papers, including a set of four identities related to modulus 27 in the same way that the two Rogers-Ramanujan identities are related to the modulus 5. After providing some mathematical and historical background, I will present a set of identities related to the modulus 108, which I discovered experimentally by playing around with variants on Dyson's mod 27 identities.
Sponsorship/Conference/Institution
Rutgers Experimental Mathematics Seminar
Location
New Brunswick, NJ
Recommended Citation
Sills, Andrew V..
2007.
"On Dyson’s q-Series Identities."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 406.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/406
