Applications of the q-Binomial Coefficients to Counting Problems

Description

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.

Links & Downloads

1. https://scholarship.claremont.edu/hmc_theses/191
2. https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1194&context=hmc_theses

Tags

q-Binomial Coefficients

Tiling Interpretation

Additional Fields

Identifer	oai:union.ndltd.org:CLAREMONT/oai:scholarship.claremont.edu:hmc_theses-1194
Date	01 May 2007
Creators	Azose, Jonathan
Publisher	Scholarship @ Claremont
Source Sets	Claremont Colleges
Detected Language	English
Type	text
Format	application/pdf
Source	HMC Senior Theses