Abstract

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 .

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