On mod p congruences for Drinfeld modular forms of level pm

[摘要] In [CS04], Calegari and Stein studied the congruences between classical cusp forms S-k(Gamma(0)(p)) of prime level and made several conjectures about them. In [AB07] (resp., [BP 11]) 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. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-11-01

[关键词] Drinfeld modular forms;Theta-operator;Atkin-Lehner involution;Congruences;Hecke operators;Eigenvalue