"데데킨트 합"의 두 판 사이의 차이

2009년 8월 8일 (토) 22:20 판

\(((x))=x-\lfloor x\rfloor - 1/2, &\mbox{if }x\in\mathbb{R}\setminus\mathbb{Z}; \\ 0,&\mbox{if }x\in\mathbb{Z}. \)

\(D(a,b;c)=\sum_{n\mod c} \left( \left( \frac{an}{c} \right) \right) \left( \left( \frac{bn}{c} \right) \right)\)

\(s(h,k)=D(1,h;k)=\sum_{n\mod c} \left( \left( \frac{n}{c} \right) \right) \left( \left( \frac{hn}{c} \right) \right)\)

\(s(b,c)+s(c,b) =\frac{1}{12}\left(\frac{b}{c}+\frac{1}{bc}+\frac{c}{b}\right)-\frac{1}{4}\)

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 <h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">상호법칙</h5>
+<math>s(b,c)+s(c,b) =\frac{1}{12}\left(\frac{b}{c}+\frac{1}{bc}+\frac{c}{b}\right)-\frac{1}{4}</math>
@@ 69번째 줄: / 69번째 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 고교수학 또는 대학수학</h5>
+*   <br>
@@ 102번째 줄: / 102번째 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%;">참고할만한 자료</h5>
-*  Dedekind-Rademacher Sums<br>
+* [http://www.jstor.org/stable/2316571?&Search=yes&term=Emil&term=Grosswald,&term=,&term="Dedekind-Rademacher+sums"&list=hide&searchUri=/action/doBasicSearch%3FQuery%3DEmil%2BGrosswald%252C%2B%2522%2BDedekind-Rademacher%2Bsums%2B%2522%252C%26x%3D0%26y%3D0%26wc%3Don&item=1&ttl=3&returnArticleService=showArticle Dedekind-Rademacher Sums]<br>
 ** Emil Grosswald
 ** The American Mathematical Monthly, Vol. 78, No. 6 (Jun. - Jul., 1971), pp. 639-644