Gauss hypergeometric functions, multiple polylogarithms, and multiple zeta values
نویسندگان
چکیده
منابع مشابه
Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
We give an explicit representation for the sums of multiple zetastar values of fixed weight and height in terms of Riemann zeta values.
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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...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2009
ISSN: 0034-5318
DOI: 10.2977/prims/1260476650