Generalized quasi-shuffle products
Number Theory
2023-03-23 v1 Combinatorics
Abstract
In this paper, we introduce the notion of generalized quasi-shuffle products and give a criterion for their associativity. These extend the quasi-shuffle products introduced by Hoffman, which are often used to describe the stuffle and shuffle product for multiple zeta values. For -analogues of multiple zeta values, the description of an analogue for the shuffle product can often not be described with the classical notion of quasi-shuffle products. We show that our generalization gives a natural extension to also include these types of products and we prove a generalization of a duality between the -shuffle product and the -stuffle product.
Cite
@article{arxiv.2303.12386,
title = {Generalized quasi-shuffle products},
author = {Masataka Satoh},
journal= {arXiv preprint arXiv:2303.12386},
year = {2023}
}