Corpus ID: 221555752

# Families of eulerian functions involved in regularization of divergent polyzetas

@article{Bui2020FamiliesOE,
title={Families of eulerian functions involved in regularization of divergent polyzetas},
author={V. Bui and V. H. N. Minh and Q. H. Ng{\^o}},
journal={arXiv: Number Theory},
year={2020}
}
• Published 2020
• Mathematics
• arXiv: Number Theory
Extending the Eulerian functions, we study their relationship with zeta function of several variables. In particular, starting with Weierstrass factorization theorem (and Newton-Girard identity) for the complex Gamma function, we are interested in the ratios of $\zeta(2k)/\pi^{2k}$ and their multiindexed generalization, we will obtain an analogue situation and draw some consequences about a structure of the algebra of polyzetas values, by means of some combinatorics of noncommutative rational… Expand
4 Citations
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