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Elliptic polylogarithms: An analytic theory

Published online by Cambridge University Press:  04 December 2007

ANDREY LEVIN
ANDREY LEVIN
Affiliation:
International Institute for Nonlinear Studies at Landau Institute for Theoretical Physics, Kosygina 2, 117910 Moscow, Russia; e-mail: [email protected]. Max Planck Institut für Mathematik, Gottfried Claren Strasse 26, 53225 Bonn, Germany; e-mail: [email protected]
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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.

Keywords

Polylogarithmsmodular forms
Type
Research Article
Information
Compositio Mathematica , Volume 106 , Issue 3 , May 1997 , pp. 267 - 282
Copyright
© 1997 Kluwer Academic Publishers