6 papers
On the -adic Littlewood conjecture in odd characteristics
Li Lai, Johannes Sprang
The -adic Littlewood conjecture is a function field analogue of the famous -adic Littlewood conjecture in Diophantine approximation. In this paper, we prove that the $P(t)…
A note on the irrationality of
Li Lai, Johannes Sprang, Wadim Zudilin
In a spirit of Apéry's proof of the irrationality of , we construct a sequence of rational approximations to the -adic zeta value which satisfy $0 <…
A partial result towards the Chowla--Milnor conjecture
Li Lai, Jia Li
The Chowla--Milnor conjecture predicts the linear independence of certain Hurwitz zeta values. In this paper, we prove that for any fixed integer , the dimension of…
On the irrationality of certain -adic zeta values
Li Lai, Cezar Lupu, Johannes Sprang
A famous theorem of Zudilin states that at least one of the Riemann zeta values is irrational. In this paper, we establish the -adic analogue of Zu…
Small improvements on the Ball-Rivoal theorem and its -adic variant
Li Lai
We prove that the dimension of the -linear span of is at least for any sufficiently large even integer…
A note on the number of irrational odd zeta values, II
Li Lai
We prove that there are at least irrational numbers among , , , , for any sufficiently large even integer .…