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


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Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values Zhao Jianqiang
Publisher: World Scientific Publishing Company, Incorporated



Values of zeta functions and their applications. Periods apart from the fact that their associated bivariate generating functions satisfy a. So that inverse Mellin transform of F(k; λ) is the multiple polylogarithm Lik (z). Lisontex, Special values of multiple polylogarithms, Trans. We prove some new evaluations for multiple polylogarithms of arbitrary depth. In terms of the special values of Riemann zeta function at positive integers. Q-linear forms in the values of the Riemann zeta function at positive integers. Rivoal stated in [30], their hypergeometric identities .. There is an integral representation, due to Kontsevich [4, 5, 13], .. This fact gives us The Generating Functions and Their Properties. In this paper, we produce shuffle relations from multiple zeta values of the form ζ ( { 1 }m-1, n+1). For multiple zeta values (MZVs, for short) and the Landen connection formula formultiple . Alexander Cardona, Iván Contreras, Andrés F. The study of special values of multiple zeta functions concerns itself with . Zagier pointed out the connection between multiple zeta values and several . Gauss hypergeometric functions, multiple polylogarithms, and multiple zetavalues . Classical polylogarithm, Euler sums, and the Riemann zeta function. The sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta value as a homogeneous sum of multiple zeta values of a Special values of multiple polylogarithms . Lisoněk, Special values of multiple polylogarithms, Trans.





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