Abstract
The size of the coefficients of cyclotomic polynomials is a problem that has been well-studied. This paper investigates the following generalization: suppose $f(x)\in\mathbb{Z}[x]$ is a divisor of $x^n-1$, so that $f(x)$ is the product of the cyclotomic polynomials corresponding to some of the divisors of $n$. We ask about the largest coefficient in absolute value over all such divisors $f(x)$ of $x^n-1$, obtaining a fairly tight estimate for the maximal order of this function.
Citation
Carl Pomerance. Nathan C. Ryan. "Maximal height of divisors of $x\sp n-1$." Illinois J. Math. 51 (2) 597 - 604, Summer 2007. https://doi.org/10.1215/ijm/1258138432
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