Ae Ja Yee

Affiliation: Pennsylvania State University

Email: yee@math.psu.edu

Title Of Talk: Partitions with Part Difference Conditions and Bressoud's Conjecture

Abstract: By employing Andrews' generalization of Watson's $q$-analogue of Whipple's theorem, Bressoud obtained an analytic identity, which specializes to most of the well known theorems on partitions with part congruence conditions and difference conditions including the Rogers--Ramanujan identities. This led him to define two partition functions $A$ and $B$ depending on multiple parameters as combinatorial counterparts of his identity. Bressoud then proved that $A=B$ for some very restricted choice of parameters and conjectured the equality to hold in full generality. We provide a proof of the conjecture a much larger class of parameters, settling many cases of Bressoud's conjecture. This is joint work with Sun Kim from Ohio State University.

WARNING: This page contains MATH-JAX

Last update made Wed Oct 24 11:05:40 EDT 2012.
Please report problems to: fgarvan@ufl.edu