Modular forms of half-integral weight on Gamma(0)(4) with few nonvanishing coefficients modulo l
DC Field | Value | Language |
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dc.contributor.author | Choi, Dohoon | - |
dc.contributor.author | Lee, Youngmin | - |
dc.date.accessioned | 2022-12-09T00:41:35Z | - |
dc.date.available | 2022-12-09T00:41:35Z | - |
dc.date.created | 2022-12-08 | - |
dc.date.issued | 2022-10-28 | - |
dc.identifier.issn | 2391-5455 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/146536 | - |
dc.description.abstract | Let k be a nonnegative integer. Let K be a number field and O-K be the ring of integers of K. Let l >= 5 be a prime and v be a prime ideal of O-K over l. Let f be a modular form of weight k + 1/2 on Gamma(0)(4) such that its Fourier coefficients are in O-K. In this article, we study sufficient conditions that if f has the form f(z) Xi Sigma(infinity)(n=1)Sigma(t)(j=1) af(s(i)n(2))q(i)(s)n2 (mod v) with square-free integers s(i), then f is congruent to a linear combination of iterated derivatives of a single theta function modulo v. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | DE GRUYTER POLAND SP Z O O | - |
dc.subject | FOURIER COEFFICIENTS | - |
dc.subject | VALUES | - |
dc.title | Modular forms of half-integral weight on Gamma(0)(4) with few nonvanishing coefficients modulo l | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choi, Dohoon | - |
dc.identifier.doi | 10.1515/math-2022-0512 | - |
dc.identifier.scopusid | 2-s2.0-85142114245 | - |
dc.identifier.wosid | 000877857200001 | - |
dc.identifier.bibliographicCitation | OPEN MATHEMATICS, v.20, no.1, pp.1320 - 1336 | - |
dc.relation.isPartOf | OPEN MATHEMATICS | - |
dc.citation.title | OPEN MATHEMATICS | - |
dc.citation.volume | 20 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1320 | - |
dc.citation.endPage | 1336 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | FOURIER COEFFICIENTS | - |
dc.subject.keywordPlus | VALUES | - |
dc.subject.keywordAuthor | Fourier coefficients of modular forms | - |
dc.subject.keywordAuthor | Galois representations | - |
dc.subject.keywordAuthor | modular forms of half-integral weight | - |
dc.subject.keywordAuthor | theta functions | - |
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