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A Generalization of the Cyclotomic Polynomial

Published online by Cambridge University Press:  20 November 2018

K. Nageswara Rao
K. Nageswara Rao*
Affiliation:
Dept. of Mathematics, North Dakota State UniversityFargo, North Dakota 58102, USA
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Abstract

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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 461 - 466
Copyright
Copyright © Canadian Mathematical Society 1976

References

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