Author

Jiang-Tao Li

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Preprint Aug 2026

The normalized approximation function for multiple zeta-star values

Motivated by the classical Lagrange spectrum and the reciprocal formulation of the Lagrange spectrum in continued-fraction theory, we introduce a normalized approximation function $\mathcal{N}(\alpha)$ for approximation by multiple zeta-star values. At each depth, the approximation error is minimized over all admissibl...

Jiang-Tao Li · 1 citation · ⚡1

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 · 1 citation