Exact formulas for traces of singular moduli of higher level modular functions

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dc.creatorChoi, Dohoon
dc.creatorJeon, Daeyeol
dc.creatorKang, Soon-Yi
dc.creatorKim, Chang Heon
dc.date2007-01-31
dc.date.accessioned2026-07-07T07:44:04Z
dc.date.available2026-07-07T07:44:04Z
dc.descriptionZagier proved that the traces of singular values of the classical j-invariant are the Fourier coefficients of a weight 3/2 modular form and Duke provided a new proof of the result by establishing an exact formula for the traces using Niebur's work on a certain class of non-holomorphic modular forms. In this short note, by utilizing Niebur's work again, we generalize Duke's result to exact formulas for traces of singular moduli of higher level modular functions.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0701908
dc.identifierhttp://arxiv.org/abs/math/0701908
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123061
dc.subjectNumber Theory
dc.subject11F37; 11F03
dc.titleExact formulas for traces of singular moduli of higher level modular functions
dc.typetext

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