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A NOTE ON FUNCTIONAL EQUATIONS OF l-ADIC POLYLOGARITHMS

Published online by Cambridge University Press:  01 July 2004

Zdzisław Wojtkowiak
Zdzisław Wojtkowiak
Affiliation:
Université de Nice-Sophia Antipolis, Département de Mathématiques, Laboratoire Jean Alexandre Dieudonné, URA au CNRS, No. 168, Parc Valrose—BP No. 71, 06108 Nice Cedex 2, France (wojtkow@math.unice.fr)
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Abstract

We study $l$-adic analogues of the classical polylogarithms. Using an explicit arithmetic formula we show that they satisfy the same distribution equations as classical polylogarithms. We also identify $l$-adic polylogarithms evaluated at roots of unity with Soulé classes.

AMS 2000 Mathematics subject classification: Primary 11G55; 11D88; 17B70

Keywords

polylogarithms$p$-adic power seriesgraded Lie algebras
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 3 , Issue 3 , July 2004 , pp. 461 - 471
Copyright
2004 Cambridge University Press

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