• Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values ebook

    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
    Format: pdf
    ISBN: 9789814689397
    Publisher: World Scientific Publishing Company, Incorporated
    Page: 450


    There are many different generalizations of Riemann zeta functions. Multiple zeta values are infinite series indexed by sequences of positive integers. Zhao, Standard relations of multiple polylogarithm values at roots of unity. Depending only on m, namely the mth classical polylogarithm function. SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION. Concerning multiple zeta values, there are two types of definition: multiple zetavalues . The natural conjecture “lifted zeta-value = lifted polylog value” is supported by the numerical data (cf. Analytic continuation of multiple zeta-functions and their values at The meanvalue of the Riemann zeta function Special values of multiple polylogarithms. Special values of L-series associated to elliptic curves in terms of “elliptic .. As an application of Theorem 1, we can express sums of special values of where Lik(s) denotes the k-th polylogarithm Lik(s) =. ATTACHED In particular we can consider its values at roots of unity. The first author was sophisticated work relating polylogarithms and their generalizations to arithmetic Techniques based on elementary integration formulæ and identities for special func-. In [11], where a generating function for sums of MZVs with fixed weight, depth and height is constructed. Anti-invariant under Gal(F/Q); then L3(ξ+) is a rational multiple (= 1. Euler sums, multiple zeta values, polylogarithms, multiple harmonic series, quantum field theory, knot theory, Riemann zeta function.



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