8 citations · 17 across the 12 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.NT2026
On the generalization of Christol's theorem to domains of finite type over finite fields
Lian Duan, Chunlin Wang
We generalize Christol's theorem---which characterizes algebraic power series over a finite field in terms of automatic coefficient sequences---to completions of domains of finite…
math.AG2026
A geometric approach to the density of rank-metric codes
Shamil Asgarli, Lian Duan, Nathan Kaplan +1
We study the asymptotic density of -point-free linear sections of geometrically irreducible projective varieties over finite fields. We then apply these results to ra…
math.NT2026
Galois representation of the product of two Drinfeld modules of generic characteristic
Lian Duan, Jiangxue Fang
In this paper, we study the Galois representations attached to products of Drinfeld modules. As a function-field analogue of Serre's classical open image theorem for products of el…