Relations between multiple zeta values and delta values from Drinfeld's associator series
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917996185780224 |
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| author | Kemp, Cameron James Deverall |
| author_facet | Kemp, Cameron James Deverall |
| contents | It is shown that novel relations between multiple zeta values and single-variable multiple polylogarithms at 1/2 (delta values) can be derived by comparing two distinct, yet a priori equal, series formulae for the Drinfeld associator (from the Knizhnik-Zamolodchikov connection). In particular, we demonstrate that two new relations are found by comparing the fifth order terms of each series formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relations between multiple zeta values and delta values from Drinfeld's associator series Kemp, Cameron James Deverall Number Theory Quantum Algebra 11G55, 11M32, 11M41 It is shown that novel relations between multiple zeta values and single-variable multiple polylogarithms at 1/2 (delta values) can be derived by comparing two distinct, yet a priori equal, series formulae for the Drinfeld associator (from the Knizhnik-Zamolodchikov connection). In particular, we demonstrate that two new relations are found by comparing the fifth order terms of each series formula. |
| title | Relations between multiple zeta values and delta values from Drinfeld's associator series |
| topic | Number Theory Quantum Algebra 11G55, 11M32, 11M41 |
| url | https://arxiv.org/abs/2504.16747 |