On singular moduli for higher rank Drinfeld modules

Publication date: 6 March 2023

Abstract: In this paper, we generaliz 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 of prime rank with complex multiplication by a monogenic imaginary field extension over the rational function field. Furthermore, we compute several examples for rank-

3

case.

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