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Elliptic polylogarithms: An analytic theory

Published online by Cambridge University Press:  04 December 2007

ANDREY LEVIN
Affiliation:
International Institute for Nonlinear Studies at Landau Institute for Theoretical Physics, Kosygina 2, 117910 Moscow, Russia; e-mail: andrl@landau.ac.ru. Max Planck Institut für Mathematik, Gottfried Claren Strasse 26, 53225 Bonn, Germany; e-mail: alevin@mpim-bonn.mpg.de
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Abstract

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In this article we introduce a natural ‘elliptic’ generalization of the classical polylogarithms, study the properties of these functions and their relations with Eisenstein series.

Type
Research Article
Copyright
© 1997 Kluwer Academic Publishers