르벡 항등식

이 항목의 수학노트 원문주소

• 르벡 항등식

 

 

==개요

• [Alladi&Gordon1993] 278&279p
  \(f(a,c)=\sum_{k\geq 0}\frac{a^{k}q^{k(k-1)/2}(-cq)_{k}}{(q)_{k}}\)
  

• a=q, c=z일 때, 르벡 항등식 (Lebesgue's identity) 을 얻는다
  \(f(q,z)=\sum_{k\geq 0}\frac{q^{k}q^{k(k-1)/2}(-zq)_{k}}{(q)_{k}}=\sum_{k\geq 0}\frac{q^{k(k+1)/2}(-zq)_{k}}{(q)_{k}}=(-zq^2;q^2)_{\infty}(-q)_{\infty}=\prod_{m=1}^{\infty} (1+zq^{2m})(1+q^{m})\)
  

 

 

 

==역사

 

• http://www.google.com/search?hl=en&tbs=tl:1&q=
• 수학사연표

 

 

==메모

 

 

==관련된 항목들

 

 

수학용어번역

• 단어사전
  
  • http://www.google.com/dictionary?langpair=en%7Cko&q=
  • http://ko.wiktionary.org/wiki/
• 발음사전 http://www.forvo.com/search/
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
• 남·북한수학용어비교
• 대한수학회 수학용어한글화 게시판

 

 

 

==사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• The Online Encyclopaedia of Mathematics
• NIST Digital Library of Mathematical Functions
• The World of Mathematical Equations

 

 

==리뷰논문과 에세이

 

 

==관련논문

• [Alladi&Gordon1993]Partition identities and a continued fraction of Ramanujan ,Krishnaswami Alladi and Basil Gordon, 1993
• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/

 

 

==관련도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=

 

 

==링크

• Summaries of Media Coverage of Math
• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=