Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
نویسندگان
چکیده
منابع مشابه
Relations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarithms
In this paper the relationship between the Ohno relation and multiple polylogarithms are discussed. Using this relationship, the algebraic reduction of the Ohno relation is given.
متن کاملRelations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarighms
In this paper the relationship between the Ohno relation and multiple polylogarithms are discussed. Using this relationship, the algebraic reduction of the Ohno relation is given.
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In this paper we shall study the special values of multiple polylogarithms atmth roots of unity, called multiple polylogarithmic values (MPVs) of depth m. These objects are generalizations of multiple zeta values and alternating Euler sums. Our primary goal is to investigate the relations between the special values by using (extended) double shuffle relations. In particular we want to know for ...
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Historically the polylogarithm has attracted specialists and non specialists alike with its lovely evaluations Much the same can be said for Euler sums or multiple harmonic sums which within the past decade have arisen in combinatorics knot theory and high energy physics More recently we have been forced to consider multidimensional extensions encompassing the classical polylogarithm Euler sums...
متن کاملMultiple q-zeta functions and multiple q-polylogarithms
For every positive integer d we define the q-analog of multiple zeta function of depth d and study its properties, generalizing the work of Kaneko et al. who dealt with the case d = 1. We first analytically continue it to a meromorphic function on C with explicit poles. In our Main Theorem we show that its limit when q ↑ 1 is the ordinary multiple zeta function. Then we consider some special va...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2004
ISSN: 0034-5318
DOI: 10.2977/prims/1145475814