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Generalized Polylogarithms in Maple

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arxiv 1806.02883 v1 pith:Q3QQXDTY submitted 2018-06-07 hep-th cs.MS

Generalized Polylogarithms in Maple

Hjalte Frellesvig This is my paper
classification hep-th cs.MS
keywords maplepolylogarithmsalongfunctionsgeneralizedmultiplealgorithmsanalytical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper describes generalized polylogarithms, multiple polylogarithms, and multiple zeta values, along with their implementation in Maple 2018. This set of related functions is of interest in high energy physics as well as in number theory. Algorithms for the analytical manipulation and numerical evaluation of these functions are described, along with the way these features are implemented in Maple.

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  1. Multiple Clausen values and deformed Ap\'ery-like series

    math.NT 2026-07 accept novelty 7.0

    Deformed Apéry-like series are shown to belong to cyclotomic multiple zeta value spaces, with explicit evaluations in terms of multiple Clausen values and zeta values.