On Dyson’s q-Series Identities

Research output: Contribution to conferencePresentation

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 languageAmerican English
StatePublished - Feb 22 2007
EventRutgers Experimental Mathematics Seminar -
Duration: Feb 22 2007 → …

Conference

ConferenceRutgers Experimental Mathematics Seminar
Period02/22/07 → …

Keywords

  • Dyson's
  • Identities
  • q-Series

DC Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

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