Zhenlin Ran

collaborators

2 papers

math.NT2024

Heights of Drinfeld modular polynomials and Hecke images

Florian Breuer, Fabien Pazuki, Zhenlin Ran

We obtain explicit upper and lower bounds on the size of the coefficients of the Drinfeld modular polynomials $Φ_{N}$ for any monic $N \in F_{q} [t]$ . These polynomials vanish at…

math.NT2023

Heights and singular moduli of Drinfeld modules

Zhenlin Ran

Let $q$ be an odd number and $q > 5$ , and $F_{q}$ be a finite field of $q$ elements. We prove that at most finitely many singular moduli of rank 2 $F_{q} [t]$ -Drinfeld m…