Abstract
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.
Original language | American English |
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State | Published - Feb 22 2007 |
Event | Rutgers Experimental Mathematics Seminar - Duration: Feb 22 2007 → … |
Conference
Conference | Rutgers Experimental Mathematics Seminar |
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Period | 02/22/07 → … |
Keywords
- Dyson's
- Identities
- q-Series
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics