The family of ternary cyclotomic polynomials with one free prime
arXiv:1110.4590
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.
To appear in Involve, 23 pages, 7 Tables, Question 5 has been meanwhile answered in the positive by Eugenia Rosu; (extended version, 32 pages)