Maximal height of divisors of xpqb – 1

Author:

Wang Shaozu1

Affiliation:

1. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

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 ℤ[x] dividing xn - 1. In this paper, we investigate the maximal height of divisors of xpqb - 1 and prove that some conjectures on the maximal height of divisors of xpqb - 1 are true.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A survey on coefficients of cyclotomic polynomials;Expositiones Mathematicae;2022-09

2. Cyclotomic Numerical Semigroups;SIAM Journal on Discrete Mathematics;2016-01

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