"Partitions with non-Repeating Odd Parts

q-Hypergeometric and Combinatorial Identities"





(University of Florida)



By studying partitions with non-repeating odd parts using representations in terms of 2-modular graphs, we first derive a Lebesgue type q-series identity and use this to give a unified treatment of several fundamental identities in the theory of q-hypergeometric series. Next we study these partitions combinatorially and obtain new weighted partition identities. Consequences include a combinatorial proof of a modular relation for the Gollnitz-Gordon functions, and a new derivation of a shifted partition identity due to Andrews. Finally we discuss some new parity results and hint at a theory of basis partitions.





Date: Tuesday, August 19, 2014

Time: 15.40 16:30

Place: Mathematics Seminar Room, SA-141


Tea and cookies will be served after the seminar.