The family of ternary cyclotomic polynomials with one free prime

Details The family of ternary cyclotomic polynomials with one free prime The family of ternary cyclotomic polynomials with one free prime

2011-10-20

arxiv.org/abs/1110.4590v1

Mathematics

Number Theory

To appear in Involve, 23 pages, 7 Tables, Question 5 has been meanwhile answered in the positive by Eugenia Rosu; (extended ve

Scientific paper

A cyclotomic polynomial \Phi_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 \Phi_{pqr}(x) with p

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