Polylogarithms, multiple zeta values and superstring amplitudes
نویسندگان
چکیده
منابع مشابه
Motivic Multiple Zeta Values and Superstring Amplitudes
The structure of tree–level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its α–expansion into several contributions accounting for different classes of multiple zeta values. This form is bolstered by the decomposition of motivic multiple zeta values, i.e. the latter encapsulate the α–expan...
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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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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...
متن کاملq-Multiple Zeta Functions and q-Multiple Polylogarithms
We shall define the q-analogs of multiple zeta functions and multiple polylogarithms in this paper and study their properties, based on the work of Kaneko et al. and Schlesinger, respectively.
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ژورنال
عنوان ژورنال: Fortschritte der Physik
سال: 2013
ISSN: 0015-8208
DOI: 10.1002/prop.201300019