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A Generalization of the Cyclotomic Polynomial
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1976
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