Renormalised Chen integrals for symbols on Rn and renormalised polyzeta functions

TL;DR

This paper discusses renormalised Chen integrals and polyzeta functions, but has been withdrawn and replaced by a newer version that addresses key issues in regularisation and higher-dimensional settings.

Contribution

The original paper introduced a framework for renormalised Chen integrals and polyzeta functions, though it was later superseded by a corrected version.

Findings

Addressed issues in regularisation compatibility

Fixed problems in higher-dimensional setting

Provided a revised approach in the new version

Abstract

This paper has been withdrawn as it is superseded by the new version math.NT/0702135 in which two major problems (non-compatibility of the regularisation with the stuffle product and incorrect higher-dimensional setting) are fixed.