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On i-Adic Iterated integrals, I analog of zagier conjecture

Published online by Cambridge University Press:  22 January 2016

ZdzisLaw Wojtkowiak
ZdzisLaw Wojtkowiak*
Affiliation:
Université de Nice-Sophia Antipolis, Département de Mathématiques, Laboratoire Jean Alexandre Dieudonné, U.R.A. au C.N.R.S., No 168, Parc Valrose- B.P.N° 71, 06108 NiceCedex 2, France. wojtkow@math.unice.fr
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Abstract

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We are studying some aspects of the action of Galois groups on the torsor of paths connecting two (possibly tangential) points on a projec-tive line minus a finite number of points. We obtain objects which formally behave like classical iterated integrals and polylogarithms. We formulate an analog of Zagier conjecture for these l-adic analogs of iterated integrals and polylogarithms.

Keywords

11G5511G9914G32
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 176 , 2004 , pp. 113 - 158
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

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