Li Lai

activity

20192026

most citedA note on the number of irrational odd zeta values

9 citations · 14 across the 10 of their papers we have counts for

collaborators

11 papers

math.NT2026

The linear independence of $1$ , $ζ (3)$ , and $ζ (4)$

Li Lai

In a recent breakthrough, Fauzan proved the irrationality of $ζ (5)$ . In this paper, we combine Fauzan's determinant method with classical simultaneous approximations of zeta values…

math.NT2026

A polynomial basis for the multizeta algebra in positive characteristic

Li Lai

Let $K = F_{q} (θ)$ , and let $Z$ be the $K$ -algebra generated by Thakur's multiple zeta values $ζ_{A} (s)$ . We prove that $Z$ is a polynomial algebr…

math.NT2026

$F_{q}$ -linear relations among Thakur's multiple zeta values in positive characteristic

Jinyuan Hu, Hanqing Huang, Li Lai +1

Let $Z_{w}^{(F_{q})}$ be the $F_{q}$ -linear subspace of $F_{q} ((θ^{- 1}))$ spanned by Thakur's multiple zeta values $ζ_{A} (s)$ of weight $w…

math.NT2023

Many $p$ -adic odd zeta values are irrational

Li Lai, Johannes Sprang

For any prime $p$ and $ε > 0$ we prove that for any sufficiently large positive odd integer $s$ at least $(c_{p} - ε) \frac{s}{l o g s}$ of the $p$ -adic zeta va…

math.NT2023

On the irrationality of certain $2$ -adic zeta values

Li Lai

Let $ζ_{2} (\cdot)$ be the Kubota-Leopoldt $2$ -adic zeta function. We prove that, for every nonnegative integer $s$ , there exists an odd integer $j$ in the interval $[s + 3, 3 s + 5]$ such…

math.NT2022★ 5 cited

On two conjectures of Sun concerning Apéry-like series

Steven Charlton, Herbert Gangl, Li Lai +2

In this paper, we shall prove two conjectures of Z.-W. Sun concerning Apéry-like series. One of the series is alternating whereas the other one is not. Our main strategy is to conv…

The linear independence of 1, ζ(3), and ζ(4)

A polynomial basis for the multizeta algebra in positive characteristic

Fq​-linear relations among Thakur's multiple zeta values in positive characteristic

Many p-adic odd zeta values are irrational

On the irrationality of certain 2-adic zeta values

On two conjectures of Sun concerning Apéry-like series

The linear independence of $1$ , $ζ (3)$ , and $ζ (4)$

$F_{q}$ -linear relations among Thakur's multiple zeta values in positive characteristic

Many $p$ -adic odd zeta values are irrational

On the irrationality of certain $2$ -adic zeta values