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

Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values



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


Zagier, Hyperbolic manifolds and special values of Dedekind zeta-functions, Invent. In Section 6 proof which will tie up later with the multiple zeta values (2) (in the case r : 2). Proceedings of the International Conference on Special Functions and their . Goncharov, Polylogarithms in arithmetic and geometry, In: Proc. There is an integral representation, due to Kontsevich [4, 5, 13], .. Multiple zeta values are infinite series indexed by sequences of positive integers. In terms of the special values of Riemann zeta function at positive integers. Multiple zeta-function, multiple polylogarithm, . K = n − 1 and the gamma function become infinite, although their sum does not. Analytic continuation of multiple zeta-functions and their values at Fundamentals of p-adic multiple L-functions, and evaluation of their special vales , preprint, Generalized multiple Dirichlet series and generalized multiplepolylogarithms. Lisontex, Special values of multiple polylogarithms, Trans. Ber theory, and an ever—recurring theme is the role played by their specialvalues at algebraic K-theory, and the classical polylogarithm function. Where ζ(s1, , sk) is the multiple zeta function; for example: .. Of the multiple q-zeta function and its values at positive integer arguments. In this paper, we produce shuffle relations from multiple zeta values of the form ζ ( { 1 }m-1, n+1). Goncharov, Multiple polylogarithms, cyclotomy and modular complexes Jun-Ichi Okuda, Duality formulas of the special values of multiple polylogarithms, Bull. Functions of generalized Euler-Zagier-Lerch type and investigate their analytic Key words and phrases. The special case s = 1 involves the ordinary natural logarithm, Li1(z) Particularvalues for the polylogarithm may thus also be found as particular values of these other functions. In Section 4, we study special values of desingularized double zeta-functions of Euler-. Keywords: multiple zeta-function, multiple zeta values, Barnes zeta-function, .





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