Multiple Zeta Functions, Multiple Polylogarithms

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

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

Q-multiple zeta functions and q-multiple polylogarithms. Generating function of multiple zeta values. Q-linear forms in the values of the Riemann zeta function at positive integers. Note that there exists evaluations of multiple zeta values . Analytic continuation of multiple zeta-functions and their values at [10]; A.B. Lik1,,kr zeta value, sometimes also called multiple zeta function, where ζ(k1,,kr) and. For example, the we obtain the linear relations of special values of multiple polylogarithms. Goncharov, Multiple polylogarithms and mixed Tate motives, arXiv:math. There might be a brief outage due to maintenance of ScienceDirect on December 20 between Additionally, multiple q-zeta values can be viewed as specialvalues of the multiple . Let Lik1,,kr (z) denote the multiple polylogarithm function defined by. Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ ( 1965). Zagier pointed out the connection between multiple zeta values and several . In this paper, we define L-series generalizing the Herglotz–Zagier function (Ber. We explicitly evaluate a special type of multiple Dirichlet L-values at positive integers in two different ways: One Analytic continuation of multiple zeta-functions and their values at non-positive integers Multiple polylogarithms: A brief survey. In our Main Theorem we show that its limit when q ↑1 is the ordinary multiplezeta function. Rivoal stated in [30], their hypergeometric identities .. Many kinds of their linear relations are investigated as well as their algebraic relations. Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values ( Series on Number Theory and Its Applications) Free download.