On modular forms for some noncongruence subgroups of \(\text{SL}_2(\mathbb Z)\)

DOI10.1016/j.jnt.2007.10.007zbMath1215.11043OpenAlexW2554204837MaRDI QIDQ958704

Ling Long, Chris A. Kurth

Publication date: 8 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.10.007

zbMATH Keywords

holomorphic modular formsnoncongruence subgroup

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fourier coefficients of automorphic forms (11F30)

Related Items

On the Fourier coefficients of 2-dimensional vector-valued modular forms ⋮ The unbounded denominators conjecture for the noncongruence subgroups of index 7 ⋮ Families of ϕ‐congruence subgroups of the modular group ⋮ Three-dimensional imprimitive representations of the modular group and their associated modular forms ⋮ Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations ⋮ Torsion homology growth for noncongruence subgroups of Bianchi groups ⋮ Noncongruence subgroups and Maass waveforms ⋮ Moduli interpretations for noncongruence modular curves ⋮ Congruence subgroups and generalized Frobenius-Schur indicators ⋮ On unbounded denominators and hypergeometric series ⋮ The arithmetic of vector-valued modular forms on Γ0(2) ⋮ On Atkin and Swinnerton-Dyer congruence relations. III ⋮ Congruence properties of induced representations and their applications

Uses Software

• ecdata

Cites Work

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• Normal subgroups of the unimodular group
• Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences
• On Atkin and Swinnerton-Dyer congruence relations. II
• An extension of F. Klein's level concept
• Lattice subgroups of free congruence groups
• On Atkin--Swinnerton-Dyer congruence relations
• Level and index in the modular group
• The l-adic representations attached to a certain noncongruence subgroup.
• Congruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24
• Identifying congruence subgroups of the modular group
• Normal Subgroups of the Modular Group which are not Congruence Subgroups
• Proof of a conjecture of Ramanujan
• On Cycloidal Subgroups of the Modular Group^†
• Subgroups of the Classical Modular Group
• Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$