Functional Equations for Higher Logarithms
نویسنده
چکیده
Following earlier work by Abel and others, Kummer gave functional equations for the polylogarithm function Lim(z) up to m = 5 in 1850, 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.
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