TL;DR
This paper investigates specific values of generalized polylogarithms at key points, explores their relationships, and proposes a conjecture on the structure of the space they generate.
Contribution
It provides a complete analysis of polylogarithm values at 1/2 and -1 and introduces a conjecture on the linear space formed by these values.
Findings
Complete investigation of small weight polylogarithms at 1/2 and -1
Formulation of a conjecture on the structure of the generated linear space
Insights into relationships among generalized polylogarithm values
Abstract
We study values of generalized polylogarithms at various points and relationships among them. Polylogarithms of small weight at the points 1/2 and -1 are completely investigated. We formulate a conjecture about the structure of the linear space generated by values of generalized polylogarithms.
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