On Atkin and Swinnerton-Dyer congruences for noncongruence modular forms

DOI10.1090/S0002-9939-2014-12162-9zbMath1309.11039MaRDI QIDQ2930612

Jonas Kibelbek

Publication date: 19 November 2014

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

zbMATH Keywords

Atkin and Swinnerton-Dyer congruencesnoncongruence cusp forms

Mathematics Subject Classification ID

Recurrences (11B37) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Moduli interpretations for noncongruence modular curves ⋮ Modular forms, de Rham cohomology and congruences

Cites Work

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• Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences
• Newforms and functional equations
• Hilbert functions and Witt functions. An identity for the congruences of Atkin and of Swinnerton-Dyer type
• Hecke operators on \(\Gamma_0(m)\)
• Finite index subgroups of the modular group and their modular forms
• Triangular Maps and Non-Congruence Subgroups of the Modular Group

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