"폴리로그 함수(polylogarithm)"의 두 판 사이의 차이

2010년 7월 9일 (금) 14:49 판

\(\operatorname{Li}_r(z)= \sum_{n=1}^\infty {z^n \over n^r}=\int_0^z \operatorname{Li}_{r-1}(z) \frac{dt}{t}\)

\(\operatorname{Li}_3(z) =\int_0^z \operatorname{Li}_2(z) \frac{dt}{t}\)

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-http://arxiv.org/abs/math.CA/9803067
+* http://arxiv.org/abs/math.CA/9803067<br>
+* [http://adsabs.harvard.edu/abs/1992alg.geom..2022H Classical Polylogarithms]<br>
+** Hain, Richard<br>
+* Goncharov, A. “The classical polylogarithms, algebraic K-theory and ζ. F. (n),” Proc. of the Gelfand Seminar, Birkhauser, 113-135
+* [http://arxiv.org/abs/math/0310062 Multiple Polylogarithms: A Brief Survey]<br>
+** Authors: Douglas Bowman, David M. Bradley, 5 Oct 2003
+* http://books.google.com/books?hl=ko&lr=&id=9G3nlZUDAhkC&oi=fnd&pg=PA391&dq=The+classical+polylogarithms,+algebraic+K-theory&ots=zst2m387di&sig=kNRuqZp_mUdFDXScW41qNbprgps#v=onepage&q=&f=false