Open Access Senior Thesis
Bachelor of Science
Arthur T. Benjamin
Kristina Garrett (St. Olaf)
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.
Azose, Jonathan, "Applications of the q-Binomial Coefficients to Counting Problems" (2007). HMC Senior Theses. 191.