A closed form expression for the Drinfeld modular polynomial   $\Phi_T(X,Y)$
  In this paper we give a closed form expression for the Drinfeld modular polynomial $\Phi_T(X,Y) \in \mathbb{F}_q(T)[X,Y]$ for arbitrary $q$ and prove a conjecture of Schweizer. A new identity involving the Catalan numbers plays a central role. 
Alp Bassa, Peter Beelen
math.NT math.AG