NAME: Alexander Berkovich

ADDRESS:  Department of Mathematics 
          University of Florida
          358 Little Hall
          PO Box 118105
          Gainesville FL 32611-8105

EMAIL ADDRESS: alexb@math.ufl.edu


TITLE OF TALK: "A double bounded key identity for Goellnitz (big) partition theorem".

ABSTRACT OF TALK: Perhaps, one of the deepest results in the theory of partitions
                  is Goellnitz theorem (1967). Recently, Alladi, Andrews and Gordon
                  refined this theorem and showed that it emerges out of, so called,
                  key identity for q-hypergeometric series. 
                  In my talk, I, first, give a straight forward interpretation of this
                  identity and then, propose and prove its double bounded terminating
                  analog. This new formula can be viewed as a one parameter
                  extension of the famous Dougall 6 phi 5 summation formula.
                  Finally, I briefly discuss possible ways to go beyond Goellnitz theorem.