Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.09403 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917564898082816 |
|---|---|
| author | Shiraishi, Densuke |
| author_facet | Shiraishi, Densuke |
| contents | In the present paper, we derive formulas of complex and $\ell$-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the $S_3$-symmetry of the projective line minus three points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_09403 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Duality-reflection formulas of multiple polylogarithms and their $\ell$-adic Galois analogues Shiraishi, Densuke Number Theory 11G55, 11F80, 14H30 In the present paper, we derive formulas of complex and $\ell$-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the $S_3$-symmetry of the projective line minus three points. |
| title | Duality-reflection formulas of multiple polylogarithms and their $\ell$-adic Galois analogues |
| topic | Number Theory 11G55, 11F80, 14H30 |
| url | https://arxiv.org/abs/2307.09403 |