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SEMI-CYCLOTOMIC POLYNOMIALS
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  • Journal title : Honam Mathematical Journal
  • Volume 37, Issue 4,  2015, pp.469-472
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2015.37.4.469
 Title & Authors
SEMI-CYCLOTOMIC POLYNOMIALS
LEE, KI-SUK; LEE, JI-EUN; Kim, JI-HYE;
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 Abstract
The n-th cyclotomic polynomial is irreducible over and has integer coefficients. The degree of is , where is the Euler Phi-function. In this paper, we define Semi-Cyclotomic Polynomial . is also irreducible over and has integer coefficients. But the degree of is . Galois Theory will be used to prove the above properties of .
 Keywords
n-th cyclotomic polynomial;semi-cyclotomic polynomial;irreducible polynomial;
 Language
English
 Cited by
 References
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S. Lang, Algebra, Addison-Wesley Publishing Company (1984).

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P. Ribenboim, Algebraic Numbers, John Wiley and Sons Inc (1972).