Analytic continuation of multiple polylogarithms

Details Analytic continuation of multiple polylogarithms Analytic continuation of multiple polylogarithms

2003-02-05

arxiv.org/abs/math/0302054v2

Analysis Mathematica, 33 (2007), pp. 301-323.

Mathematics

Algebraic Geometry

16 pages, a sign error corrected

Scientific paper

10.1007/s10476-007-0404-7

In this paper we shall define the analytic continuation of the multiple
polylogarithms by using Chen's theory of iterated path integrals and compute
the monodromy of all multiple logarithms explicitly.

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