On the coefficients of the cyclotomic polynomials of order three

Details On the coefficients of the cyclotomic polynomials of order three On the coefficients of the cyclotomic polynomials of order three

2009-10-11

arxiv.org/abs/0910.1982v1

Mathematics

Number Theory

16pages, submitted to J. Number Theory

Scientific paper

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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