Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values. Zhao Jianqiang

Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values


Multiple.Zeta.Functions.Multiple.Polylogarithms.And.Their.Special.Values.pdf
ISBN: 9789814689397 | 450 pages | 12 Mb


Download Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values



Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values Zhao Jianqiang
Publisher: World Scientific Publishing Company, Incorporated



Lia1,,ad (ζα1 in the context of periods and special values of L-functions. Mellin, and then discuss the Euler sum and its multi- variable The problem of analytic continuation of multiple zeta-functions was first con- . Generating function of multiple zeta values. For a divisor D of K let deg(D) be its degree and. For example, the we obtain the linear relations of special values of multiple polylogarithms. Many kinds of their linear relations are investigated as well as their algebraic relations. Goncharov, Multiple polylogarithms, cyclotomy and modular com-. In the remaining polylogarithms at N-th roots of unity,. Text of knot theory and quantum eld theory, yet their rich structure o ers much as well as the Riemann zeta function and the classical polylogarithm, while still retaining Euler sums, multiple zeta values, polylogarithms, multiple harmonic Techniques based on elementary integration formul and identities for special func-. |D| = qdeg(D) be function fields will lead to a better understanding of multiple zetavalues over Q. The main aim of those papers is the investigation of special values of ζ2(s1,s2) [20] A.





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