Arithmetic Properties of Traces of Singular Moduli on Congruence Subgroups

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dc.creatorKang, Soon-Yi
dc.creatorKim, Chang Heon
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:08:24Z
dc.date.available2026-07-07T13:08:24Z
dc.descriptionAfter Zagier proved that the traces of singular moduli $j(z)$ are Fourier coefficients of a weakly holomorphic modular form, various properties of the traces of the singular values of modular functions mostly on the full modular group $PSL_2(\mathbb{Z})$ have been investigated such as their exact formulas, limiting distribution, duality, and congruences. The purpose of this paper is to generalize these arithmetic properties of traces of singular values of a weakly holomorphic modular function on the full modular group to those on a congruence subgroup $Γ_0(N)$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0904.3777
dc.identifierhttp://arxiv.org/abs/0904.3777
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228405
dc.subjectNumber Theory
dc.subject11F37; 11F03; 11F30
dc.titleArithmetic Properties of Traces of Singular Moduli on Congruence Subgroups
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