ARITHMETIC PROPERTIES OF TRACES OF SINGULAR MODULI ON CONGRUENCE SUBGROUPS

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dc.contributor.authorKang, SoonYiko
dc.contributor.authorKim, Chang Heonko
dc.date.accessioned2013-03-08T18:05:59Z-
dc.date.available2013-03-08T18:05:59Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-12-
dc.identifier.citationINTERNATIONAL JOURNAL OF NUMBER THEORY, v.6, no.8, pp.1755 - 1768-
dc.identifier.issn1793-0421-
dc.identifier.urihttp://hdl.handle.net/10203/93845-
dc.description.abstractAfter Zagier proved that the traces of singular moduli are Fourier coefficients of a weakly holomorphic modular form, various arithmetic properties of the traces of singular values of modular functions mostly on the full modular group have been found. The purpose of this paper is to generalize the results for modular functions on congruence subgroups with arbitrary level.-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.subjectHALF-INTEGRAL WEIGHT-
dc.subjectCLASS POLYNOMIALS-
dc.subjectCOEFFICIENTS-
dc.subjectSERIES-
dc.subjectPOINTS-
dc.subjectFORMS-
dc.titleARITHMETIC PROPERTIES OF TRACES OF SINGULAR MODULI ON CONGRUENCE SUBGROUPS-
dc.typeArticle-
dc.identifier.wosid000286200000003-
dc.identifier.scopusid2-s2.0-78651420676-
dc.type.rimsART-
dc.citation.volume6-
dc.citation.issue8-
dc.citation.beginningpage1755-
dc.citation.endingpage1768-
dc.citation.publicationnameINTERNATIONAL JOURNAL OF NUMBER THEORY-
dc.identifier.doi10.1142/S1793042110003757-
dc.contributor.nonIdAuthorKim, Chang Heon-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorCongruence subgroups-
dc.subject.keywordAuthormodular functions-
dc.subject.keywordAuthortraces of singular moduli-
dc.subject.keywordAuthorduality-
dc.subject.keywordAuthorcongruences-
dc.subject.keywordPlusHALF-INTEGRAL WEIGHT-
dc.subject.keywordPlusCLASS POLYNOMIALS-
dc.subject.keywordPlusCOEFFICIENTS-
dc.subject.keywordPlusSERIES-
dc.subject.keywordPlusPOINTS-
dc.subject.keywordPlusFORMS-
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