Renormalised Chen integrals for symbols on Rn and renormalised polyzeta functions

2006/04/26 by Dominique Manchon, Manchon, Dominique, Sylvie Paycha +1
Mathematics · #11M99 #46N99 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Functional Analysis (math.FA) #Number Theory (math.NT) #math.FA #math.NT #msc:11M99 #msc:46N99

paper · pdf · doi:10.48550/arxiv.math/0604562

This paper has been withdrawn

openalex publication_date 2006/04/26 · arxiv created 2007/02/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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This paper has been withdrawn as it is superseded by the new version math.NT/0702135 in which two major problems (non-compatibility of the regularisation with the stuffle product and incorrect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

Citations

• Stokes' formulae on classical symbol valued forms and applications

Related

• Nested sums of symbols and renormalised multiple zeta functions
• Chen's Iterated Integral represents the Operator Product Expansion
• Renormalised iterated integrals of symbols with linear constraints
• An etude on a renormalization
• An arithmetic study of the formal Laplace transform in several variables