"Y-system and functional dilogarithm identities"의 두 판 사이의 차이
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| 11번째 줄: | 11번째 줄: | ||
* <math>1-x_{i}=x_{i-1}x_{i+1}</math> 를 만족시키는 다섯개의 수<br> | * <math>1-x_{i}=x_{i-1}x_{i+1}</math> 를 만족시키는 다섯개의 수<br> | ||
* is this also an example of a cluster variable? | * is this also an example of a cluster variable? | ||
| + | * [[asymptotic analysis of basic hypergeometric series]] | ||
| 27번째 줄: | 28번째 줄: | ||
* [[3 central charge of CFT, L-values, volume of threefolds and dilogarithm]] | * [[3 central charge of CFT, L-values, volume of threefolds and dilogarithm]] | ||
| + | * [[dilogarithm and dilogarithm identities]] | ||
* [[Bloch group, K-theory and dilogarithm]] | * [[Bloch group, K-theory and dilogarithm]] | ||
2011년 1월 18일 (화) 13:45 판
introduction
five-term relation of dilogarithm
- 5항 관계식 (5-term relation)
- 로저스 다이로그 함수 \(L(x)\)에 대하여 다음이 성립한다
\(0\leq x,y\leq 1\) 일 때,
\(L(x)+L(1-xy)+L(y)+L(\frac{1-y}{1-xy})+L\Left( \frac{1-x}{1-xy} )\right)=\frac{\pi^2}{2}\) - \(1-x_{i}=x_{i-1}x_{i+1}\) 를 만족시키는 다섯개의 수
- is this also an example of a cluster variable?
- asymptotic analysis of basic hypergeometric series
history
- 3 central charge of CFT, L-values, volume of threefolds and dilogarithm
- dilogarithm and dilogarithm identities
- Bloch group, K-theory and dilogarithm
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
articles
- Periodic cluster algebras and dilogarithm identities
- Tomoki Nakanishi, 2010
- Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r
- Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi, 2010
- Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi, 2010
- Dilogarithm identities for conformal field theories and cluster algebras: simply laced case
- Tomoki Nakanishi, 2009
- Tomoki Nakanishi, 2009
- Thermodynamic Bethe Ansatz and Dilogarithm Identities I
- Edward Frenkel, Andras Szenes, 1995
- ADE functional dilogarithm identities and integrable models
- F. Gliozzi, R. Tateo, Phys. Lett. 348B (1995) 84-88.
- Rogers Dilogarithm in Integrable Systems
- A. Kuniba, T. Nakanishi, 1992
- Spectra in Conformal Field Theories from the Rogers Dilogarithm
- Atsuo Kuniba, Tomoki Nakanishi, 1992
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
blogs
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- http://ncatlab.org/nlab/show/HomePage
experts on the field