오일러의 convenient number ( Idoneal number)

간단한 소개

• Numeri Idonei
• 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 21, 22, 24, 25, 28, 30, 33, 37, 40, 42, 45, 48, 57, 58, 60, 70, 72, 78, 85, 88, 93, 102, 105, 112, 120, 130, 133, 165, 168, 177, 190, 210, 232, 240, 253, 273, 280, 312, 330, 345, 357, 385, 408, 462, 520, 760, 840, 1320, 1365, and 1848

 

 

class number 에 따른 분류

 

\(h(-4n)\)	n's with one class per genus
1	1,2,3,4,7
2	5,6,8,9,10,12,13,15,16,18,22,25,28,37,58
4	21,24,30,33,40,42,45,48,57,60,70,72,78,85,88,93,102,112,130,133,177,190,232,253
8	105,120,165,168,210,240,273,280,312,330,345,357,385,408,462,520,760
16	840,1320,1365,1848

 

 

 

 

 

 

 

 

 

 

관련된 다른 주제들

• 수체의 class number
• 정수계수 이변수 이차형식(binary integral quadratic forms)

 

 

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=

 

참고할만한 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/Idoneal_number
• http://mathworld.wolfram.com/IdonealNumber.html

 

 

관련논문

• Leonhard euler’s convenient number
  
  •  
  • Günther Frei, The Mathematical Intelligencer, Volume 7, Number 3 / 1985년 9월

 

블로그

• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=idoneal+number