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Description
Title: | On residues of polynomial sequences |
Author(s): | Wittrig, Aaron |
Advisor(s): | Athreya, Jayadev S. |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | M.S. |
Genre: | Thesis |
Subject(s): | Aliasing
Polynomials Fiber Products |
Abstract: | Given $f(x)\in\Q[x]$, graphing the doubly infinite sequence $f\big|_{\Z}$ mod 1 can often produce interesting and even surprising results. In this paper, we will give some examples of such sequences, introduce some techniques for their analysis and construction, and will provide an easy method for distinguishing them from other sequences taking values in $\Q\cap[0,1)$. |
Issue Date: | 2012-09-18 |
URI: | http://hdl.handle.net/2142/34280 |
Rights Information: | The author, Aaron Wittrig, reserves credit but not exclusive copyright. Copy and disseminate at will. Licensed under a Creative Commons BY license (see http://creativecommons.org/licenses/by/3.0/) |
Date Available in IDEALS: | 2012-09-18 |
Date Deposited: | 2012-08 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois