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Analytic continuation of multiple polylogarithms

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arxiv math/0302054 v2 pith:LKNFELTV submitted 2003-02-05 math.AG math.NT

Jianqiang Zhao This is my paper · ORCID
classification math.AGmath.NT
keywords multipleanalyticcontinuationpolylogarithmschencomputedefineexplicitly
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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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  1. Recursive construction of scalar one-loop integrals in dimensional regularisation

    hep-th 2026-07 conditional novelty 8.0 of 10

    A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.

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