On The Global Renormalization and Regularization of Several Complex Variable Zeta Functions by Computer
Combinatorics
2023-08-23 v3
Abstract
This review concerns the resolution of a special case of Knizhnik-Zamolodchikov equations () using our recent results on combinatorial aspects of zeta functions on several variables and software on noncommutative symbolic computations. In particular, we describe the actual solution of leading to the unique noncommutative series, , so-called Drinfel'd associator (or Drinfel'd series). Non-trivial expressions for series with rational coefficients, satisfying the same properties with , are also explicitly provided due to the algebraic structure and the singularity analysis of the polylogarithms and harmonic sums.
Cite
@article{arxiv.2209.09849,
title = {On The Global Renormalization and Regularization of Several Complex Variable Zeta Functions by Computer},
author = {V. C. Bui and V. Hoang Ngoc Minh and V. Nguyen Dinh and Q. H. Ngo},
journal= {arXiv preprint arXiv:2209.09849},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2008.10872