On Rademacher's conjecture: congruence subgroups of genus zero of the modular group.

DOI10.1016/j.jalgebra.2004.02.025zbMath1056.20034OpenAlexW1974379443WikidataQ122981548 ScholiaQ122981548MaRDI QIDQ1879651

Kok Seng Chua, Yifan Yang, Mong-Lung Lang

Publication date: 23 September 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.025

zbMATH Keywords

function fieldsgeneratorsmodular groupindicescongruence subgroupsgenerafundamental polygonsRademacher conjectureFarey symbolsnumbers of cusps

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (6)

Modular curves of prime-power level with infinitely many rational points ⋮ Geometry of Schreieder's varieties and some elliptic and \(K3\) moduli curves ⋮ Defining equations of modular curves ⋮ Shimura curves of genus at most two ⋮ Congruence Link Complements—A 3-Dimensional Rademacher Conjecture ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral

Cites Work

• Unnamed Item
• Unnamed Item
• The cusp amplitudes of the congruence subgroups of the classical modular group
• Normalisers of subgroups of the modular group
• Torsion-free genus zero congruence subgroups of \(\text{PSL}_2(\mathbb R)\)
• Independent generators for congruence subgroups of Hecke groups
• On the genus of fields of elliptic modular functions
• Fields of modular functions of genus O
• A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group.
• Level and index in the modular group
• An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
• The Genus of Subfields of K(n)
• TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
• Congruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24
• An Algorithm for Determining if a Subgroup of the Modular Group is Congruence
• SPECIAL POLYGONS FOR SUBGROUPS OF THE MODULAR GROUP AND APPLICATIONS
• The signature of \(\Gamma_0^+(n)\)

This page was built for publication: On Rademacher's conjecture: congruence subgroups of genus zero of the modular group.