Relations between multiple zeta values and delta values from Drinfeld's associator series
Number Theory
2025-04-24 v1 Quantum Algebra
Abstract
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.
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Cite
@article{arxiv.2504.16747,
title = {Relations between multiple zeta values and delta values from Drinfeld's associator series},
author = {Cameron James Deverall Kemp},
journal= {arXiv preprint arXiv:2504.16747},
year = {2025}
}
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20 pages