Analytic continuation of Kochubei multiple polylogarithms and its applications
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918506907303936 |
|---|---|
| author | Chen, Yen-Tsung |
| author_facet | Chen, Yen-Tsung |
| contents | In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic continuation of Kochubei multiple polylogarithms and its applications Chen, Yen-Tsung Number Theory 11G09, 11R58, 33E50 In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect. |
| title | Analytic continuation of Kochubei multiple polylogarithms and its applications |
| topic | Number Theory 11G09, 11R58, 33E50 |
| url | https://arxiv.org/abs/2505.03224 |