On residues of polynomial sequences

Aliasing;Polynomials;Fiber Products

Wittrig, Aaron ; Athreya ; Jayadev S.

关键词: Aliasing;    Polynomials;    Fiber Products;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/34280/Wittrig_Aaron.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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 $\Q\cap[0,1)$.