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On polylogarithms*)

Published online by Cambridge University Press:  22 January 2016

Johan L. Dupont
Johan L. Dupont*
Affiliation:
Matematisk Institut, Aarhus Universitet, Ny Munkegade, DK-8000 Aarhus C, Denmark
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Some functions related to the complex dilogarithmic function

(in the notation of Lewin [9]) are known to occur in connection with algebraic K-theory and characteristic classes (see e.g. Bloch [1], Gelfand-MacPherson [7], Dupont [5], and the references given there). Recently MacPherson and Hain (see [10]) has announced results of a similar kind for some higher polylogarithmic functions. Also Ramakrishnan [11] and [12] has recently studied the classical polylogarithms, which for |z| < 1 are given by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 114 , June 1989 , pp. 1 - 20
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

Footnotes

*)

This work is partially supported by grants from Statens Naturvidenskabelige Forskningsråd, Denmark, and the National Science Foundation, U.S.A.

References

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