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arXiv:0710.0432 [math.NT]AbstractReferencesReviewsResources

Differential Birkhoff decomposition and the renormalization of multiple zeta values

Li Guo, Bin Zhang

Published 2007-10-02Version 1

In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is views as a special case of the Algebraic Birkhoff Decomposition. We give a differential algebra variation of this decomposition and apply this to the study of multiple zeta values.

Comments: 20 pages
Journal: J. Number Theory vol 128 (2008), 2318-2339
Categories: math.NT, math.CO, math.RA
Subjects: 11M41, 12H05, 16W30, 81T15
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