English

On mod $\mathfrak{p}$ congruences for Drinfeld modular forms of level $\mathfrak{p}\mathfrak{m}$

Number Theory 2021-07-13 v2

Abstract

In~\cite{CS04}, Calegari and Stein studied the congruences between classical cusp forms Sk(Γ0(p))S_k(\Gamma_0(p)) of prime level and made several conjectures about them. In~\cite{AB07} (resp., ~\cite{BP11}) the authors proved one of those conjectures (resp., their generalizations). In this article, we study the analogous conjecture and its generalizations for Drinfeld modular forms.

Keywords

Cite

@article{arxiv.2008.01959,
  title  = {On mod $\mathfrak{p}$ congruences for Drinfeld modular forms of level $\mathfrak{p}\mathfrak{m}$},
  author = {Tarun Dalal and Narasimha Kumar},
  journal= {arXiv preprint arXiv:2008.01959},
  year   = {2021}
}
R2 v1 2026-06-23T17:39:04.413Z