On mod p congruences for Drinfeld modular forms of level pm

Dalal, Tarun and Kumar, Narasimha (2021) On mod p congruences for Drinfeld modular forms of level pm. Journal of Number Theory, 228. pp. 253-275. ISSN 0022-314X

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Abstract

In [CS04], Calegari and Stein studied the congruences between classical cusp forms Sk(Γ0(p)) of prime level and made several conjectures about them. In [AB07] (resp., [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. © 2021 Elsevier Inc.

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IITH Creators:

IITH Creators	ORCiD
Kumar, Narasimha	https://orcid.org/0000-0002-6754-338X

Item Type:

Article

Additional Information:

The first author thanks University Grants Commission, India for the financial support provided in the form of Research Fellowship to carry out this research work at IIT Hyderabad. The second author's research was partially supported by the SERB grant MTR/2019/000137 .

Uncontrolled Keywords:

Atkin-Lehner involution; Congruences; Drinfeld modular forms; Eigenvalue; Hecke operators; Θ-operator

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

12 Sep 2022 07:34

Last Modified:

12 Sep 2022 07:34