Theses and Dissertations - UTRGV

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Brandt Kronholm

Second Advisor

Dr. Jacob White

Third Advisor

Dr. Timothy Huber


Definition 1. For any N, the central coefficient(s) of [N+33] is denoted by C0(N) and the coefficient that is x ''away" from the central coefficient(s) of [N+33] is denoted by Cx(N).

In [1] the following result is proved:

Theorem 2. The central coefficient(s) of the Gaussian polynomial [N+33] are described by the generating function

[Special characters omitted]

This generating function has period 4.

The main goal of this thesis is to generalize Theorem 0.2 by way of proving the following conjecture:

Conjecture 3. For any x the generating function for Cx(N) has period 4 and is given in three cases:

[Special characters omitted]


Copyright 2020 Arturo J. Martinez. All Rights Reserved.

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