English

On singular moduli for higher rank Drinfeld modules

Number Theory 2023-11-07 v3

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-33 case.

Keywords

Cite

@article{arxiv.2303.03643,
  title  = {On singular moduli for higher rank Drinfeld modules},
  author = {Chien-Hua Chen},
  journal= {arXiv preprint arXiv:2303.03643},
  year   = {2023}
}

Comments

27 pages

R2 v1 2026-06-28T09:04:49.865Z