Graduation Year
2007
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Arthur T. Benjamin
Reader 2
Kristina Garrett (St. Olaf)
Abstract
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.
Recommended Citation
Azose, Jonathan, "Applications of the q-Binomial Coefficients to Counting Problems" (2007). HMC Senior Theses. 191.
https://scholarship.claremont.edu/hmc_theses/191
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