Geodesic
A Generalization of the Cyclotomic Polynomial
Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 461-466

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In this paper, the cyclotomic polynomial is generalized and several of its properties based on the Môbius inversion are derived. It is deduced that a polynomial whose roots are the roots of a cyclotomic polynomial multiplied by those of another cyclotomic polynomial is the product of cyclotomic polynomials. Character sums and finite Fourier series are employed for the latter result. 
Rao, K. Nageswara. A Generalization of the Cyclotomic Polynomial. Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 461-466. doi: 10.4153/CMB-1976-069-8
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     title = {A {Generalization} of the {Cyclotomic} {Polynomial}},
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     year = {1976},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-069-8/}
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