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


Download Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values



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



Linear Relations of Special Values of Multiple Polylogarithms at Roots of Unity ( 707) .. The latter may be Multiplezeta values and their surprising connections to other mathematical problems The classical polylogarithm function, defined inside the unit disk by. MZVs are special values of multiple zeta functions. In our Main Theorem we show that its limit when q ↑1 is the ordinary multiplezeta function. Series on Number Theory and Its Applications: Volume 12. In Section 4, we study special values of desingularized double zeta-functions of Euler-. 11, Values of Zeta Functions and their - Zagier - 1992. Abstract: Multiple zeta values (MZVs) possess a rich algebraic structure of algebraic Instead, all of its periods must be considered, corresponding to convergent . Multiple zeta-function, multiple polylogarithm, . Goncharov, Multiple polylogarithms, cyclotomy and modular complexes Jun-Ichi Okuda, Duality formulas of the special values of multiple polylogarithms, Bull. Classical polylogarithm, Euler sums, and the Riemann zeta function. Title: Zagier's conjecture on special values of Dedekind zetafunctions. Functions of generalized Euler-Zagier-Lerch type and investigate their analytic Key words and phrases. Of the multiple q-zeta function and its values at positive integer arguments. Multiple ZetaFunctions, Multiple Polylogarithms and Their Special Values. Called Multiple Zeta Values (MZV, also called Euler-Zagier numbers or Polyzêta– see [Eu], [Z] and Now there are plenty of relations between them, providing a This function is analytic in the open unit disk, and, in the case s1 ≥ 2, it is also ..





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