Relations between multiple zeta values and delta values from Drinfeld's associator series
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.
Fields of Study & Subjects
Advanced Mathematical Identities
Publication details
- Journal / source
- Journal of Number Theory
- Volume
- 292
- Pages
- 314–339
- Publication date
- 7 August 2026
- Language
- EN