Special values of multiple polylogarithms

  title={Special values of multiple polylogarithms},
  author={Jonathan Michael Borwein and David M. Bradley and David John Broadhurst and Petr Lisonek},
  journal={Transactions of the American Mathematical Society},
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, and the Riemann zeta function. Here, we provide a general framework within which… 
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