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* [http://www.research.att.com/~njas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br> | * [http://www.research.att.com/~njas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]<br> | ||
** http://www.research.att.com/~njas/sequences/?q= | ** http://www.research.att.com/~njas/sequences/?q= | ||
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<h5 style="line-height: 2em; 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%;">Bethe type equation (cyclotomic equation)</h5> | <h5 style="line-height: 2em; 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%;">Bethe type equation (cyclotomic equation)</h5> | ||
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<math>\frac{(1-x)(1-x^2)^2}{(1-x^3)}=x^2</math> | <math>\frac{(1-x)(1-x^2)^2}{(1-x^3)}=x^2</math> | ||
| 32번째 줄: | 28번째 줄: | ||
<math>x^3+3x^2-1=0</math> | <math>x^3+3x^2-1=0</math> | ||
| − | + | <math>x, -y, -z^{-1}</math>가 방정식 의 해 http://www.wolframalpha.com/input/?i=x^3%2B3x^2-1%3D0 | |
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| − | <math>x, -y, -z^{-1}</math>가 방정식 의 | ||
2010년 6월 25일 (금) 10:24 판
type of identity and specialization
q-series identity
\(\sum_{n=0}^{\infty}\frac{(q^3;q^3)_{n}q^{n(n+1)}}{ (q)_{n}(q;q^{2})_n(q^2;q^2)_{n}}=\frac{(q^{9};q^{27})_{\infty}(q^{18};q^{27})_{\infty}(q^{27};q^{27})_{\infty}}{(q)_{\infty}}\)
Bethe type equation (cyclotomic equation)
\(\frac{(1-x)(1-x^2)^2}{(1-x^3)}=x^2\)
\(x^3+3x^2-1=0\)
\(x, -y, -z^{-1}\)가 방정식 의 해 http://www.wolframalpha.com/input/?i=x^3%2B3x^2-1%3D0
dilogarithm identity
\(L(x^3)-3L(x^2)-3L(x)=-\frac{7}{3}L(1)\)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
[[4909919|]]
articles