Maximal height of divisors of $x^{pq^{b}}-1$

Shaozu Wang

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arXiv · 1312.3108

Maximal height of divisors of $x^{pq^{b}}-1$

Shaozu Wang

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Abstract

The height of a polynomial $f(x)$ is the largest coefficient of $f(x)$ in absolute value. Let B(n) be the largest height of a polynomial in $\mathbb{Z}[x]$ dividing $x^n-1$. In this paper we investigate the maximal height of divisors of $x^{pq^b}-1$ and prove that some conjectures on the maximal height of divisors of $x^{pq^b}-1$ are true.

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Shaozu Wang. 2013-12-11. Maximal height of divisors of $x^{pq^{b}}-1$. https://arxiv.org/abs/1312.3108

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