Title

A New Combinatorial Interpretation of the Multiple Binomial Coefficients

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Date of Award

Spring 2015

Abstract

Multiple qt-binomial coefficients, the n-dimensional analog of the classical binomial coefficients, is an active research topic in the field of combinatorics. This project investigates the combinatorial interpretation and properties of the qt-binomial coefficients in the two dimensional case. The result will be useful in not only the field of combinatorics but also number theory, statistics, computer science and other fields where the sequences of binomial coefficients or q- binomial coefficients are used.

Advisor

Hasan Coskun

Subject Categories

Mathematics | Physical Sciences and Mathematics

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