The transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for Gamma(0)(2)

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dc.contributor.authorChoi, SoYoungko
dc.contributor.authorIm, Bo-Haeko
dc.date.accessioned2019-08-20T05:20:06Z-
dc.date.available2019-08-20T05:20:06Z-
dc.date.created2019-08-19-
dc.date.created2019-08-19-
dc.date.issued2019-11-
dc.identifier.citationJOURNAL OF NUMBER THEORY, v.204, pp.423 - 434-
dc.identifier.issn0022-314X-
dc.identifier.urihttp://hdl.handle.net/10203/264323-
dc.description.abstractWe consider the canonical basis elements f(k,m)(epsilon) for the space of weakly holomorphic modular forms of weight k for the Hecke congruence group Gamma(0)(2) and we prove that for all m >= c(k) for some constant c(k), if z(0) in a fundamen- tal domain for Gamma(0)(2) is a zero of f(k,m)(epsilon), then either z(0) is in {i/root 2, - 1/2 + i/2, 1/2 + i/2, -1+i root 7/4, 1+i root 7/4} or z(0) is transcendental. (C) 2019 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleThe transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for Gamma(0)(2)-
dc.typeArticle-
dc.identifier.wosid000478706900017-
dc.identifier.scopusid2-s2.0-85065914967-
dc.type.rimsART-
dc.citation.volume204-
dc.citation.beginningpage423-
dc.citation.endingpage434-
dc.citation.publicationnameJOURNAL OF NUMBER THEORY-
dc.identifier.doi10.1016/j.jnt.2019.04.012-
dc.contributor.localauthorIm, Bo-Hae-
dc.contributor.nonIdAuthorChoi, SoYoung-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorWeakly holomorphic modular form-
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