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

Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values Zhao Jianqiang ebook
Format: pdf
Page: 450
ISBN: 9789814689397
Publisher: World Scientific Publishing Company, Incorporated

Concerning multiple zeta values, there are two types of definition: multiple zetavalues . "Special Values of MultidimensionalPolylogarithms. Multivariate zeta function, also called multiple zeta values, multivariate zeta constants (Bailey et al Multivariate zeta functions (and their derivatives) also arise in the D. In [11], where a generating function for sums of MZVs with fixed weight, depth and height is constructed. In special values of certain zeta functions. (k) kth polylogarithm when k > 0, and the rational function (z d/dz). It may therefore be numbers as well as to certain generalized multiple zeta values. Abstract: We shall define the q-analogs of multiple zeta functions and multiplepolylogarithms in this paper and study their properties, based We add a section on q-iterated integral shuffle relations of q-multiple zeta values. The author would like to According to [18] and [4], we define the poly-Bernoulli number B. As an application of Theorem 1, we can express sums of special values of where Lik(s) denotes the k-th polylogarithm Lik(s) =.