Combinatorial aspects of the theory of q-series

Hammond, P R (2005) Combinatorial aspects of the theory of q-series. Doctoral thesis (DPhil), University of Sussex.

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Abstract

This thesis is concerned mainly with the interplay between identities involving power series (which are called q-series) and combinatorics, in particular the theory of partitions. The thesis includes new proofs of some q-series identities and some ideas about the generating functions for the rank and crank, a new proof of the triple product identity and a combinatorial proof of a q-elliptic identity.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0101 Elementary mathematics. Arithmetic
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Depositing User: Paul Hammond
Date Deposited: 02 May 2012 14:43
Last Modified: 26 Nov 2012 13:08
URI: http://sro.sussex.ac.uk/id/eprint/38863

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