On the coefficients of the cyclotomic polynomials of order three

Jia Zhao; Xianke Zhang

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arXiv · 0910.1982

On the coefficients of the cyclotomic polynomials of order three

Jia Zhao·Xianke Zhang

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Abstract

We say that a cyclotomic polynomial Phi_{n}(x) has order three if n is the product of three distinct primes, p =11, and they proposed the Corrected Beiter conjecture: M(p)<=2p/3. Here we will give a sufficient condition for the Corrected Beiter conjecture and prove it when p=7.

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Jia Zhao, Xianke Zhang. 2009-10-11. On the coefficients of the cyclotomic polynomials of order three. https://arxiv.org/abs/0910.1982

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