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

• Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values
• Zhao Jianqiang
• Page: 450
• Format: pdf, ePub, mobi, fb2
• ISBN: 9789814689397
• Publisher: World Scientific Publishing Company, Incorporated

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Books download kindle Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values PDF iBook PDB

Cyclic sum of certain parametrized multiple series - ScienceDirect A generating function for sums of multiple zeta values and its applications. Proc. Amer. Math. Special values of multiple polylogarithms. Trans. Amer. Math. Examples of Mahler Measures as special values of the Riemann special (odd) values of the Riemann zeta function. Analogously, the Definition 3 Multiple polylogarithms are defined as the power series. Lik1,,km . Let P(x,z) = p(x) + αq(x)z ∈ C[x,z] such that we know its Mahler measure as a function of α  arXiv:math/0601558v1 [math.NT] 23 Jan 2006 and multiple zeta values, multiple polylogarithms and their q-analogs. Multiple zeta include as special cases the MZVs, MPLs and q-MZVs. In Section 4, this setup .. We define a multiple Hurwitz zeta function to be an iteration ζ(s1, ··· ,sk; x +  1 May 2004 Duality formulas of the Special Values of Multiple - arXiv Many kinds of their linear relations are investigated as well as their algebraic relations. generating function of multiple zeta values. For example, the we obtain the linear relations of special values of multiple polylogarithms. In Section 4 we  Resolution of Some Open Problems Concerning Multiple Zeta We prove some new evaluations for multiple polylogarithms of arbitrary depth. The study of special values of multiple zeta functions concerns itself with . periods apart from the fact that their associated bivariate generating functions satisfy a. Zeta Functions, Topology and Quantum Physics - Google Books Result Takashi Aoki, Shigeru Kanemitsu, Mikio Nakahara - ‎2008 - Mathematics Desingularization of complex multiple zeta-functions, fundamentals above complex multiple zeta-functions by showing that the special values of the adic multiple polylogarithm, multiple Bernoulli numbers, multiple Kummer .zeta-function of the generalized Euler-Zagier type (0.1) is its special case, that is,. Gauss hypergeometric functions, multiple polylogarithms, and Gauss hypergeometric functions, multiple polylogarithms, and multiple zetavalues . and P. Lisoněk, Special values of multiple polylogarithms, Trans. Amer. D. Zagier, Values of zeta functions and their applications, in First  Resolution of Some Open Problems Concerning Multiple Zeta We prove some new evaluations for multiple polylogarithms of arbitrary depth. The study of special values of multiple zeta functions concerns itself with relations . quite well understood—there is a formula expressing ζ({s}n) in terms of the  The Algebra and Combinatorics of Shuffles andMultiple Zeta Values Lie algebra;; shuffle;; multiple zeta value;; iterated integral Special values ofmultiple polylogarithms. Trans. Values of zeta functions and their applications.

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