On singular moduli for higher rank Drinfeld modules (2303.03643v3)

Abstract: In this paper, we generalize Dorman's work to estimate singular moduli for higher rank Drinfeld modules. In particular, we give a lower bound on the valuation of singular moduli for Drinfeld modules with complex multiplication by an imaginary field extension over the rational function field. Furthermore, we compute several examples for rank-$3$ case.