Relations of multiple $\tilde{T}$-values involving the total numbers of certain permutations
| Autor: | Umezawa, Ryota |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 25 pages |
| Databáze: | arXiv |
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