Applications of the q-Binomial Coefficients to Counting Problems
Jonathan J. Azose · Scholarship @ Claremont (The Claremont Colleges) · 2007
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.