"Reciprocity law"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
1번째 줄: 1번째 줄:
Diamond & Shurman 155p
+
<h5>introduction</h5>
  
<math>x^3=d</math>
+
 
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">example 1</h5>
 +
 
 +
* Diamond & Shurman 155p
 +
* <math>x^3=d</math>
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">example 2</h5>
 +
 
 +
* Sums of sqaures of integers 126p
 +
*  equation<br> number of solutions of <math>x^4-2x^2+2=0</math> in F_p = <math>1+(\frac{-1}{p})+a_p</math> where<br><math>q\prod_{n=1}^{\infty} (1-q^{2n})(1-q^{16n})=\sum_{n=1}^\infty a_nq^n</math><br>  <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%;">example 3</h5>
 +
 
 +
* 1-2-3- of modular forms
 +
 
 +
 
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">history</h5>
 +
 
 +
* http://www.google.com/search?hl=en&tbs=tl:1&q=
  
 
 
 
 
  
Sums of sqaures of integers 126p
+
 
 +
 
 +
<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%;">related items</h5>
 +
 
 +
* [[mathematics of x^3-x+1=0]]<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%;">encyclopedia</h5>
 +
 
 +
* http://en.wikipedia.org/wiki/
 +
* http://www.scholarpedia.org/
 +
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">books</h5>
 +
 
 +
 
 +
 
 +
* [[2010년 books and articles]]<br>
 +
* http://gigapedia.info/1/
 +
* http://gigapedia.info/1/
 +
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 +
 
 +
[[4909919|]]
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">articles</h5>
 +
 
 +
 
 +
 
 +
* http://www.ams.org/mathscinet
 +
* [http://www.zentralblatt-math.org/zmath/en/ ]http://www.zentralblatt-math.org/zmath/en/
 +
* [http://arxiv.org/ ]http://arxiv.org/
 +
* http://pythagoras0.springnote.com/
 +
* http://math.berkeley.edu/~reb/papers/index.html
 +
* http://dx.doi.org/
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">question and answers(Math Overflow)</h5>
 +
 
 +
* http://mathoverflow.net/search?q=
 +
* http://mathoverflow.net/search?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%;">blogs</h5>
 +
 
 +
*  구글 블로그 검색<br>
 +
** http://blogsearch.google.com/blogsearch?q=
 +
** http://blogsearch.google.com/blogsearch?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%;">experts on the field</h5>
 +
 
 +
* http://arxiv.org/
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<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%;">links</h5>
 +
 
 +
* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
 +
* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
 +
* [http://www.research.att.com/~njas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 +
* http://functions.wolfram.com/
 +
*

2010년 5월 11일 (화) 15:52 판

introduction

 

 

 

example 1
  • Diamond & Shurman 155p
  • \(x^3=d\)

 

 

example 2
  • Sums of sqaures of integers 126p
  • equation
    number of solutions of \(x^4-2x^2+2=0\) in F_p = \(1+(\frac{-1}{p})+a_p\) where
    \(q\prod_{n=1}^{\infty} (1-q^{2n})(1-q^{16n})=\sum_{n=1}^\infty a_nq^n\)
     

 

example 3
  • 1-2-3- of modular forms

 

 

 

history

 

 

related items

 

 

encyclopedia

 

 

books

 

[[4909919|]]

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

experts on the field

 

 

links