Let a(n, k) be the kth coefficient of the nth cyclotomic polynomial. In part I it was proved that {a(mn, k) | n ≥ 1, k ≥ 0} = Z, in case m is a prime power. In this paper we show that the result also holds true in case m is an arbitrary positive integer.
Let a(k, n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki proved that {a(k, n) | n, k ∈ N} = Z. In this paper, we improve this result and prove that for any prime p and any integer l ≥ 1, we have {a(k, p l n) | n, k ∈ N} = Z.
Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x). We say Φn(x) is flat if A(n) = 1. In this paper, for odd primes p < q < r and 2r ≡ ±1 (mod pq), we prove that Φpqr(x) is flat if and only if p = 3 and q ≡ 1 (mod 3).
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