Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.18281 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917652384972800 |
|---|---|
| author | Umezawa, Ryota |
| author_facet | Umezawa, Ryota |
| contents | Kaneko and Tsumura proved a relation of multiple $\tilde{T}$-values involving Entringer numbers counting the total number of down-up permutations starting with a fixed value. In the present paper, we generalize this relation and provide some relations involving Entringer numbers and the total number of Dumont permutations of the first kind starting with a fixed value. For this purpose, we also provide explicit formulas for the total numbers of those permutations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relations of multiple $\tilde{T}$-values involving the total numbers of certain permutations Umezawa, Ryota Number Theory Combinatorics Kaneko and Tsumura proved a relation of multiple $\tilde{T}$-values involving Entringer numbers counting the total number of down-up permutations starting with a fixed value. In the present paper, we generalize this relation and provide some relations involving Entringer numbers and the total number of Dumont permutations of the first kind starting with a fixed value. For this purpose, we also provide explicit formulas for the total numbers of those permutations. |
| title | Relations of multiple $\tilde{T}$-values involving the total numbers of certain permutations |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2404.18281 |