On the zeros of period functions associated to the Eisenstein series for Γ0+(N)

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dc.contributor.authorChoi, SoYoungko
dc.contributor.authorIm, Bo-Haeko
dc.date.accessioned2022-05-30T06:01:17Z-
dc.date.available2022-05-30T06:01:17Z-
dc.date.created2022-05-30-
dc.date.issued2022-05-
dc.identifier.citationJOURNAL OF NUMBER THEORY, v.234, pp.200 - 239-
dc.identifier.issn0022-314X-
dc.identifier.urihttp://hdl.handle.net/10203/296713-
dc.description.abstractWe consider the period functions associated to the Eisenstein series for the Fricke group gamma(+& nbsp;)(0) (N), the odd parts of the period functions and certain polynomials obtained from the period functions for gamma(+& nbsp;)(0)(N), and we prove that all zeros of each of them lie on the circle |z| = 1/root N by applying the properties of a self-inversive polynomial. In particular, our result proves Berndt and Straub's suggested problem. (C)& nbsp;2021 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleOn the zeros of period functions associated to the Eisenstein series for Γ0+(N)-
dc.typeArticle-
dc.identifier.wosid000795908300010-
dc.identifier.scopusid2-s2.0-85123422367-
dc.type.rimsART-
dc.citation.volume234-
dc.citation.beginningpage200-
dc.citation.endingpage239-
dc.citation.publicationnameJOURNAL OF NUMBER THEORY-
dc.identifier.doi10.1016/j.jnt.2021.06.021-
dc.contributor.localauthorIm, Bo-Hae-
dc.contributor.nonIdAuthorChoi, SoYoung-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorPeriod functions-
dc.subject.keywordAuthorEisenstein series-
dc.subject.keywordAuthorN-self-inversive polynomials-
dc.subject.keywordPlusSELF-INVERSIVE POLYNOMIALS-
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