원분다항식(cyclotomic polynomial)

정의

\(\Phi_n(X) = \prod_\omega (X-\omega)\)

\(\omega\) : primitive n-th 단위근

 

예

\(\Phi_1(X) = X-1\)

\(\Phi_2(X) = X+1\)

\(\Phi_3(X) = X^2 + X + 1\)

\(\Phi_6(X) = X^2 - X + 1\)

\(\Phi_9(X) = X^6 + X^3 + 1\)

\(\Phi_{15}(X) = X^8 - X^7 + X^5 - X^4 + X^3 - X + 1\)

 

역사

• 수학사연표

 

 

 

 

 

 

관련된 다른 주제들

•  오일러의 totient 함수
• 수학사연표

 

관련도서 및 추천도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
  • http://book.daum.net/search/mainSearch.do?query=

 

 

사전형태의 참고자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/Cyclotomic_polynomial
• http://en.wikipedia.org/wiki/
• http://www88.wolframalpha.com/input/?i=cyclotomic+polynomial
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=cyclotomic
• 
  

 

관련기사

• 네이버 뉴스 검색 (키워드 수정)
  
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

 

블로그

• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=