"모듈라 형식(modular forms)"의 두 판 사이의 차이

수학노트
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21번째 줄: 21번째 줄:
 
(정리)
 
(정리)
  
<math>\mathbb{C}[E_4,E_6]</math>
+
<math>\mathbb{C}[E_4,E_6]=\oplus M_k</math>
  
 
+
<math>\{E_6^2, \Delta\}</math>는 weight 12인 모듈라 형식의 기저가 된다.
 
 
 <math>\{E_6, \Delta\}</math>는 weight 12인 모듈라 형식의 기저가 된다.
 
  
 
 
 
 
31번째 줄: 29번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">간단한 소개</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">간단한 소개</h5>
  
 
 
 
 
37번째 줄: 35번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">상위 주제</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">상위 주제</h5>
  
 
 
 
 
54번째 줄: 52번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">재미있는 사실</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">재미있는 사실</h5>
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">역사</h5>
 
 
 
* [[수학사연표 (역사)|수학사연표]]<br>
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">많이 나오는 질문과 답변</h5>
 
 
 
*  네이버 지식인<br>
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
 
  
 
 
 
 
83번째 줄: 58번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 다른 주제들</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">역사</h5>
 
 
<br>
 
  
 
+
* [[수학사연표 (역사)|수학사연표]]
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련도서 및 추천도서</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">참고할만한 자료</h5>
 
 
*  도서내검색<br>
 
** http://books.google.com/books?q=
 
** http://book.daum.net/search/contentSearch.do?query=
 
*  도서검색<br>
 
** http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
** http://book.daum.net/search/mainSearch.do?query=
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">참고할만한 자료</h5>
 
  
 
* [http://ko.wikipedia.org/wiki/%EB%B3%B4%ED%98%95%ED%98%95%EC%8B%9D http://ko.wikipedia.org/wiki/보형형식]
 
* [http://ko.wikipedia.org/wiki/%EB%B3%B4%ED%98%95%ED%98%95%EC%8B%9D http://ko.wikipedia.org/wiki/보형형식]
* http://en.wikipedia.org/wiki/modular_forms
 
* http://www.wolframalpha.com/input/?i=
 
* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
* 다음백과사전 http://enc.daum.net/dic100/search.do?q=
 
* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]
 
* [http://navercast.naver.com/science/list 네이버 오늘의과학]
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련기사</h5>
 
 
*  네이버 뉴스 검색 (키워드 수정)<br>
 
** 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=
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">블로그</h5>
 
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
 
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">이미지 검색</h5>
 
 
* http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=
 
* http://images.google.com/images?q=
 
* [http://www.artchive.com/ http://www.artchive.com]
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">동영상</h5>
 
 
* http://www.youtube.com/results?search_type=&search_query=
 
* <br>
 

2010년 1월 4일 (월) 14:33 판

정의

 

 

중요한 예

\(\Delta(\tau)=q\prod_{n>0}(1-q^n)^{24}=q-24q+252q^2+\cdots\)

 

 

구조 정리

(정리)

\(\mathbb{C}[E_4,E_6]=\oplus M_k\)

\(\{E_6^2, \Delta\}\)는 weight 12인 모듈라 형식의 기저가 된다.

 

 

간단한 소개

 

 

상위 주제

 

 

 

하위페이지

 

 

재미있는 사실

 

 

역사
참고할만한 자료