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arXiv · 2111.00058

Proving dualities for qMZVs with connected sums

Benjamin Brindle
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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 $q$-Ohno relations, a generalization of Bradley-Zhao duality, is also obtained.

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Benjamin Brindle. 2021-10-29. Proving dualities for qMZVs with connected sums. https://arxiv.org/abs/2111.00058

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