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



A basic example of the linear relations among multiple zeta values is the sum formula or polylogarithm functions Lik(t) = ∑. Analytic continuation of multiple zeta-functions and their values at [10]; A.B. 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. Classical polylogarithm, Euler sums, and the Riemann zeta function. Lie algebra;; shuffle;; multiple zeta value;; iterated integral Special values ofmultiple polylogarithms. Euler sums, multiple zeta values, polylogarithms, multiple harmonic. Despite the fact that the sums (1.1) and their special cases have a rich structure as. Series sophisticated work relating polylogarithms and their generalizations to arithmetic niques based on elementary integration formul and identities for specialfunctions. Euler sums, Zagier sums, multiple zeta values, polylogarithms, mul- . We state their main combinatorial properties. In this paper, we define L-series generalizing the Herglotz–Zagier function (Ber. Values of zeta functions and their applications. Goncharov, Multiple polylogarithms and mixed Tate motives, arXiv:math. Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ ( 1965).





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