Affiliation: University of Florida
Email: hamza@math.ufl.edu
Title Of Talk: Shifted and Shiftless Partition Identities
Abstract: Let S be a subset of positive integers and p(S,n) denote the number of partitions of n with parts in S. A k-shifted partition identity is a pair of sets S and T such that p(S,n)=p(T,n-k) for all n>k. A shiftless identity has the form: p(S; T) = p(T; n) for all n not equal to a. We prove many shifted and shiftless partition identities most of which was previously conjectured by Garvan. This is a joint work with Prof. Frank Garvan.
Last update made Thu Nov 11 14:47:28 EST 2004.
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