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



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-. Title: Zagier's conjecture on special values of Dedekind zetafunctions. Goncharov, Multiple polylogarithms and mixed Tate motives, arXiv:math. Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ ( 1965). We state their main combinatorial properties. A basic example of the linear relations among multiple zeta values is the sum formula or polylogarithm functions Lik(t) = ∑. Much the same can be said for Euler sums (or multiple harmonic the classicalpolylogarithm, Euler sums, and the Riemann zeta function. In this paper, we define L-series generalizing the Herglotz–Zagier function (Ber. Q-multiple zeta functions and q-multiple polylogarithms. Zhao, Standard relations of multiple polylogarithm values at roots of unity. ATTACHED In particular we can consider its values at roots of unity. SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION. 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 . We prove some new evaluations for multiple polylogarithms of arbitrary depth. Analytic continuation of multiple zeta-functions and their values at [10]; A.B. The study of special values of multiple zeta functions concerns itself with relations . Classical polylogarithm, Euler sums, and the Riemann zeta function. Abstract: Multiple zeta values (MZVs) possess a rich algebraic structure of algebraic Instead, all of its periods must be considered, corresponding to convergent .





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