A generalization of the cyclotomic polynomial

K. Nageswara Rao
1976 Canadian mathematical bulletin  
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.
doi:10.4153/cmb-1976-069-8 fatcat:boycxk6zxzdynjobmf6wajl67i