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arXiv · 1110.4590

The family of ternary cyclotomic polynomials with one free prime

Yves Gallot·Pieter Moree·Robert Wilms
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Abstract

A cyclotomic polynomial Φ_n(x) is said to be ternary if n=pqr with p,q and r distinct odd primes. Ternary cyclotomic polynomials are the simplest ones for which the behaviour of the coefficients is not completely understood. Here we establish some results and formulate some conjectures regarding the coefficients appearing in the polynomial family Φ_{pqr}(x) with p<q<r, p and q fixed and r a free prime.

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Yves Gallot, Pieter Moree, Robert Wilms. 2011-10-20. The family of ternary cyclotomic polynomials with one free prime. https://arxiv.org/abs/1110.4590

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