Author

Kun-Yue Li

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Preprint Aug 2026

$\mathbb{F}_q$-linear relations among Thakur's multiple zeta values in positive characteristic

Let $\mathcal{Z}_w^{(\mathbb{F}_q)}$ be the $\mathbb{F}_q$-linear subspace of $\mathbb{F}_q(\!(\theta^{-1})\!)$ spanned by Thakur's multiple zeta values $\zeta_A(\mathfrak{s})$ of weight $w$. We prove that $\sum_{w=1}^{\infty} \left(\dim_{\mathbb{F}_q} \mathcal{Z}_w^{(\mathbb{F}_q)}\right) x^w = \frac{x(1-x^q)(1-2x+x^q...

Jin-Yuan Hu, Han-Qing Huang, Li Lai et al. · 1 citation · ⚡1

#machine learning Preprint Aug 2026

An algebraic proof of Colombo's difference-power determinant conjecture

Let $n\ge2$ be even, let $\lambda=(\lambda_1,\ldots,\lambda_n)\in\mathbb{R}^n$ have pairwise distinct coordinates, and define the difference-power matrix \[ A_d(\lambda) := \bigl[(\lambda_r-\lambda_s)^d\bigr]_{r,s=1}^n, \qquad d\in\mathbb{N}. \] In 1928, Colombo proved that $\det A_{n-1}(\lambda)\ne0$---and hence $\det...

Kun-Yue Li, Tie Li, Peng Wang et al. · 0 citations