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Applications of the q-Binomial Coefficients to Counting ProblemsAzose, Jonathan 01 May 2007 (has links)
I have developed a tiling interpretation of the q-binomial coefficients. The aim of this thesis is to apply this combinatorial interpretation to a variety of q-identities to provide straightforward combinatorial proofs. The range of identities I present include q-multinomial identities, alternating sum identities and congruences.
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