On Atkin and Swinnerton-Dyer congruence relations. III. (English) Zbl 1175.11021
The author continues to study \(p\)-adic Hecke operators on modular forms for noncongruence subgroups of \(\text{SL}(2,{\mathbb Z}).\) In particular, she generalizes the results concerning three-term congruence relations from A. O. L. Atkin, W.-C. W. Li and L. Long [Math. Ann. 340, No. 2, 335–358 (2008; Zbl 1157.11015)] to a class of infinitely many spaces of noncongruence cuspforms in weight 3. She also proves the modularity of Scholl’s \(\ell\)-adic representation in some new cases.
Part I, see W.-C. W. Li, L. Long and Z. Yang, J. Number Theory 113, No. 1, 117–148 (2005; Zbl 1083.11027).
Part I, see W.-C. W. Li, L. Long and Z. Yang, J. Number Theory 113, No. 1, 117–148 (2005; Zbl 1083.11027).
Reviewer: Stefan Kühnlein (Karlsruhe)
MSC:
| 11F33 | Congruences for modular and \(p\)-adic modular forms |
| 11F11 | Holomorphic modular forms of integral weight |
References:
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