Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients

Pieter Moree, Eugenia Rosu

Let l>=1 be an arbitrary odd integer and p,q and r primes. We show that there exist infinitely many ternary cyclotomic polynomials Φ_{pqr}(x) with l^2+3l+5<= p<q<r such that the se…