The image and kernel of Atkin’s 𝑈_{𝑝} operator modulo 𝑝

DOI10.1090/S0002-9939-2011-11115-8zbMath1251.11030MaRDI QIDQ2884413

Michael Dewar

Publication date: 29 May 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

The theta cycles for modular forms modulo prime powers ⋮ \(\boldsymbol{U_p}\)-operators and congruences for Shimura images ⋮ Relations among Ramanujan-type congruences. I

Cites Work

• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Non-Existence of Ramanujan Congruences in Modular Forms of Level Four
• A Study of the Local Components of the Hecke Algebra mod l
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