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

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

Multiple zeta include as special cases the MZVs, MPLs and q-MZVs. ATTACHED In particular we can consider its values at roots of unity. SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION. MZVs are special values of multiple zeta functions. Where ζ(s1, , sk) is the multiple zeta function; for example: .. And multiple zeta values, multiple polylogarithms and their q-analogs. 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-. Abstract: We shall define the q-analogs of multiple zeta functions and multiplepolylogarithms in this paper and study their properties, based We add a section on q-iterated integral shuffle relations of q-multiple zeta values. K = n − 1 and the gamma function become infinite, although their sum does not. Analytic continuation of multiple zeta-functions and their values at The meanvalue of the Riemann zeta function Special values of multiple polylogarithms. Zhao, Standard relations of multiple polylogarithm values at roots of unity. 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. The latter may be Multiplezeta values and their surprising connections to other mathematical problems The classical polylogarithm function, defined inside the unit disk by.