• CARMA COLLOQUIUM
  • Speaker: Prof Frank Garvan, University of Florida
  • Title: Transformation Properties for Dyson's Rank Fun
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 4:00 pm, Wed, 16th Dec 2015
  • Abstract:

    At the 1987 Ramanujan Centenary meeting Dyson asked for a coherent group-theoretical structure for Ramanujan's mock theta functions analogous to Hecke's theory of modular forms. We extend the work of Bringmann and Ono, and Ahlgren and Treneer on answering this question.

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  • CARMA OANT SEMINAR
  • Speaker: Prof Frank Garvan, University of Florida
  • Title: Dyson's Rank Function and Andrews's SPT Function.
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Access Grid Venue: CARMA [ENQUIRIES]
  • Time and Date: 3:00 pm, Tue, 20th Aug 2013
  • Abstract:

    Let spt(n) denote the number of smallest parts in the partitions of n. In 2008, Andrews found surprising congruences for the spt-function mod 5, 7 and 13. We discuss new congruences for spt(n) mod powers of 2. We give new generating function identities for the spt-function and Dyson's rank function. Recently with Andrews and Liang we found a spt-crank function that explains Andrews spt-congruences mod 5 and 7. We extend these results by finding spt-cranks for various overpartition-spt-functions of Ahlgren, Bringmann, Lovejoy and Osburn. This most recent work is joint with Chris Jennings-Shaffer.

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  • CARMA AND AMSI WORKSHOP
  • Exploratory Experimentation and Computation in Number Theory
  • Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Access Grid Venue: UNewcastle [ENQUIRIES]
  • Dates: Wed, 7th Jul 2010 - Fri, 9th Jul 2010
  • Download: Workshop information
  • Keynote Speakers:
    • Prof Frank Garvan, University of Florida
    • Laureate Prof Jonathan Borwein, The University of Newcastle
    • Prof Heng Huat Chan, National University of Singapore
    Keynote talks will be available on the Access Grid.
  • Further information about registration is available here [PDF]. The workshop programme listing speakers and the schedule is available in PDF or Word formats. The book of abstracts is available in PDF format.


  • Speaker: Prof Frank Garvan, University of Florida
  • Title: Biranks for partitions into 2 colors and some theta function identities
  • 2:30 pm AEST, Wed 7th July, 2010

  • Speaker: Prof Heng Huat Chan, National University of Singapore
  • Title: Ramanujan and the theory of modular forms
  • 9:30 am AEST, Thu 8th July, 2010

  • Speaker: Laureate Prof Jon Borwein, CARMA, The University of Newcastle
  • Title: The arithmetic of uniform random walks
  • 9:30 am AEST, Fri 9th July, 2010
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