Proving dualities for qMZVs with connected sums
Number Theory
2021-11-02 v1
Abstract
This paper gives a new application of so-called connected sums, introduced recently by Seki and Yamamoto. Special about our approach is that it proves a duality for the Schlesinger-Zudilin and the Bradley-Zhao model of qMZVs simultaneously. The latter implies the duality for MZVs and the former can be used to prove the shuffle product formula for MZVs. Furthermore, the -Ohno relations, a generalization of Bradley-Zhao duality, is also obtained.
Cite
@article{arxiv.2111.00058,
title = {Proving dualities for qMZVs with connected sums},
author = {Benjamin Brindle},
journal= {arXiv preprint arXiv:2111.00058},
year = {2021}
}
Comments
6 pages