Double shuffle relations for arborified zeta values
- Arborified zeta values are defined as iterated series and integrals using the universal properties of rooted trees. This approach allows to study their convergence domain and to relate them to multiple zeta values. Generalisations to rooted trees of the stuffle and shuffle products are defined and studied. It is further shown that arborified zeta values are algebra morphisms for these new products on trees.
| Author details: | Pierre J. ClavierGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.jalgebra.2019.10.015 |
| ISSN: | 0021-8693 |
| ISSN: | 1090-266X |
| Title of parent work (English): | Journal of algebra |
| Publisher: | Elsevier |
| Place of publishing: | San Diego |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/02/01 |
| Publication year: | 2020 |
| Release date: | 2023/02/08 |
| Tag: | Multiple zeta values; Rooted trees; Rota-Baxter; Shuffle products; algebras |
| Volume: | 543 |
| Number of pages: | 45 |
| First page: | 111 |
| Last Page: | 155 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
