"폴리로그 함수(polylogarithm)"의 두 판 사이의 차이

2010년 7월 12일 (월) 14:48 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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-* [[#]] D. J. Broadhurst, 1998<br>http://arxiv.org/abs/math.CA/9803067<br>
+* [http://arxiv.org/abs/math.CA/9803067 Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $\zeta(3)$ and $\zeta(5)$]<br>
+**  D. J. Broadhurst, 1998<br>
+* [http://arxiv.org/abs/alg-geom/9202022 Classical Polylogarithms]<br>
+** Hain, Richard, 1992
-* [http://adsabs.harvard.edu/abs/1992alg.geom..2022H Classical Polylogarithms]<br>
+*  The classical polylogarithms, algebraic K-theory and ζ. F. (n),<br>
-** Hain, Richard<br>
+** Goncharov, A. Proc. of the Gelfand Seminar, Birkhauser, 113-135
-* 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