Professor Herbert Gangl herbert.gangl@durham.ac.uk
Professor
Following earlier work by Abel and others, Kummer gave in 1840 functional equations for the polylogarithm function Li_m(z) up to m = 5, but no example for larger m was known until recently. We give the first genuine 2-variable functional equation for the 7-logarithm. We investigate and relate identities for the 3-logarithm given by Goncharov and Wojtkowiak and deduce a certain family of functional equations for the 4-logarithm.
Gangl, H. (2003). Functional equations for higher logarithms. Selecta Mathematica (New Series), 9(3), 361 - 377. https://doi.org/10.1007/s00029-003-0312-z
Journal Article Type | Article |
---|---|
Publication Date | 2003-09 |
Deposit Date | Feb 15, 2008 |
Journal | Selecta Mathematica (New Series) |
Print ISSN | 1022-1824 |
Electronic ISSN | 1420-9020 |
Publisher | Springer |
Peer Reviewed | Not Peer Reviewed |
Volume | 9 |
Issue | 3 |
Pages | 361 - 377 |
DOI | https://doi.org/10.1007/s00029-003-0312-z |
Keywords | Polylogarithms, Functional equations, Algebraic K-theory. |
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