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

Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values



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

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


The study of special values of multiple zeta functions concerns itself with . E uler sums, multiple zeta values, polylogarithms, multiple harmonic series, q uantum fi eld theory, k not theory, R iemann zeta function. Text of knot theory and quantum eld theory, yet their rich structure o ers much Euler sums, multiple zeta values, polylogarithms, multiple harmonic series niques based on elementary integration formul and identities for special functions . In this paper, we define L-series generalizing the Herglotz–Zagier function (Ber. Analytic continuation of multiple zeta-functions and their values at [10]; A.B. Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ ( 1965). Tsumura, `Functional relations and special values of Mordell-Tornheim triple zeta and L-functions,' Proc. And multiple zeta values, multiple polylogarithms and their q-analogs. The study of special values of multiple zeta functions concerns itself with relations . Classical polylogarithm, Euler sums, and the Riemann zeta function. T he fi rst author sophisticated work relating polylogarithms and their generalizations to arithmetic Techniques based on elementary integration formul e and identities for special func-. Of the multiple q-zeta function and its values at positive integer arguments. Proceedings of the International Conference on Special Functions and their . 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-. Multiple zeta include as special cases the MZVs, MPLs and q-MZVs. We prove some new evaluations for multiple polylogarithms of arbitrary depth. Multiple zeta values (MZVs) in the usual sense are the special values of multiple variable zeta functions at Analytic continuation of multiple zeta-functions andtheir values at non-positive integers Special values of multiple polylogarithms. Bibliography of works on multiple zeta values (multiple harmonic series) and Euler sums (values of multiple polylogarithms). Goncharov, Multiple polylogarithms and mixed Tate motives, arXiv:math. Periods apart from the fact that their associated bivariate generating functions satisfy a.





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