Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-02T23:12:51.582Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)