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Author

Jiang-Tao Li

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Preprint Sep 2026

The derivative function of the zeta-star correspondence

We study the right derivative of the zeta-star correspondence between binary expansions and multiple zeta-star values of infinite depth. At a finite-index point, this derivative is a normalized difference of two finite-depth multiple zeta-star values. We use this identity to express its local behavior in terms of lower...

Jiang-Tao Li · 0 citations
Preprint Sep 2026

The derived set of multiple star polylogarithms

The derived set of multiple zeta-star values is the half-line $[1,+\infty)$. In this paper we study the corresponding two-dimensional problem for multiple star polylogarithms on the unit circle. We first prove that every shifted multiple star polylogarithm is the generating function of a completely monotone sequence an...

Jiang-Tao Li · 0 citations

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