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Values of coefficients of cyclotomic polynomials |
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| Authors: | Chun-Gang Ji |
| Institution: | a Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China b Rugao Normal College, Rugao 226500, Jiangsu, PR China |
| Abstract: | Let a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki proved that  . In this paper, we improve this result and prove that for any prime p and any integer l≥1, we have {a(k,pln)∣n,k∈N}=Z. |
| Keywords: | Cyclotomic polynomials Dirichlet&rsquo s theorem Arithmetic progressions |
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