Criar uma Loja Virtual Grátis


Total de visitas: 14894
Multiple Zeta Functions, Multiple Polylogarithms

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



Analogously, the Definition 3 Multiple polylogarithms are defined as the power series. Proceedings of the International Conference on Special Functions and their . Note that there exists evaluations of multiple zeta values . Much the same can be said for Euler sums (or multiple harmonic the classicalpolylogarithm, Euler sums, and the Riemann zeta function. Classical polylogarithm, Euler sums, and the Riemann zeta function. Concerning multiple zeta values, there are two types of definition: multiple zetavalues . Despite the fact that the sums (1.1) and their special cases have a rich structure as. Lik1,,kr zeta value, sometimes also called multiple zeta function, where ζ(k1,,kr) and. Let Lik1,,kr (z) denote the multiple polylogarithm function defined by. Special (odd) values of the Riemann zeta function. In [11], where a generating function for sums of MZVs with fixed weight, depth and height is constructed. Euler sums, Zagier sums, multiple zeta values, polylogarithms, mul- . There are many different generalizations of Riemann zeta functions. As an application of Theorem 1, we can express sums of special values of where Lik(s) denotes the k-th polylogarithm Lik(s) =.