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 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
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