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Functional equations for higher logarithms.

Gangl, H. (2003) 'Functional equations for higher logarithms.', Selecta mathematica., 9 (3). 361 - 377.


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.

Item Type:Article
Keywords:Polylogarithms, Functional equations, Algebraic K-theory.
Full text:Full text not available from this repository.
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Date accepted:No date available
Date deposited:No date available
Date of first online publication:September 2003
Date first made open access:No date available

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