Generalized Polylogarithms in Maple

TL;DR

This paper introduces the implementation of generalized polylogarithms, multiple polylogarithms, and multiple zeta values in Maple 2018, detailing algorithms for their manipulation and evaluation relevant to physics and number theory.

Contribution

It provides the first comprehensive implementation of these complex functions in Maple, including algorithms for their analytical and numerical handling.

Findings

Implementation enables efficient manipulation of polylogarithms in Maple

Algorithms facilitate accurate numerical evaluation of these functions

Supports research in high energy physics and number theory

Abstract

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.