Clean Single-Valued Polylogarithms

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• ISSN: 1815-0659
• Hauptverfasser: Charlton, Steven, Duhr, Claude, Gangl, Herbert
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211420
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Clean Single-Valued Polylogarithms. Steven Charlton, Claude Duhr and Herbert Gangl. SIGMA 17 (2021), 107, 34 pages

We define a variant of real-analytic polylogarithms that are single-valued, and that satisfy ''clean'' functional relations that do not involve any products of lower weight functions. We discuss the basic properties of these functions and, for depths one and two, we present some...