논문KCI 등재
Galois irreducible polynomials
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초록
In this paper, the fundamental theorem of Galois Theory is used to generalize cyclotomic polynomials and construct irreducible polynomials associated with the $n$-th primitive roots of unity.
Abstract
In this paper, the fundamental theorem of Galois Theory is used to generalize cyclotomic polynomials and construct irreducible polynomials associated with the $n$-th primitive roots of unity.
참고문헌 (4)
- J. R. Bastida, "Field Extensions and Galois Theory, Encyclopedia of Mathematics and Its Application" (1984), Addison-Wesley Publishing Company
- G. H. Hardy, Wright, "An Introduction to the Theory of Numbers" (1980), Oxford University Press
- S. Lang, "Algebra" (1984), Addison-Wesley Publising Company
- 이기석, "SEMI-CYCLOTOMIC POLYNOMIALS", 호남수학학술지, 37(4), pp.469~472 (2015), 호남수학회
관련 논문AI추천
CYCLOTOMIC POLYNOMIALS OVER CYCLOTOMIC FIELDS김성두, 이준복대한수학회 · 대한수학회논문집2012 · 제27권 제3호Modified cyclotomic polynomials이기석, Ae-Kyoung Cha, Miyeon Kwon, Seong-Mo Yang대한수학회 · 대한수학회보2022 · 제59권 제6호Generating certain quintic irreducible polynomials over finite fields김기태, 안영우강원경기수학회 · 한국수학논문집2011 · 제19권 제3호A note on ternary cyclotomic polynomialsBin Zhang대한수학회 · 대한수학회보2014 · 제51권 제4호ON THE GALOIS GROUP OF ITERATE POLYNOMIALS최은미한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALSBin Zhang, Yu Zhou대한수학회 · 대한수학회보2015 · 제52권 제6호
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