DC Field | Value | Language |
---|---|---|
dc.contributor.author | CHOIE, YOUNG JU | - |
dc.contributor.author | Park, Yoon Kyung | - |
dc.contributor.author | Zagier, Don | - |
dc.date.accessioned | 2019-04-08T00:50:03Z | - |
dc.date.available | 2019-04-08T00:50:03Z | - |
dc.date.created | 2019-04-07 | - |
dc.date.issued | 2019-03 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/96885 | - |
dc.description.abstract | Generalizing a result of [15] for modular forms of level one, we give a closed formula for the sum of all Hecke eigenforms on Gamma(0)(N), multiplied by their odd period polynomials in two variables, as a single product of Jacobi theta series for any squarefree level N. We also show that for N = 2, 3 and 5 this formula completely determines the Fourier expansions of all Hecke eigenforms of all weights on Gamma(0)(N). | - |
dc.language | English | - |
dc.publisher | European Mathematical Society Publishing House | - |
dc.relation.isPartOf | Journal of the European Mathematical Society | - |
dc.title | Periods of modular forms on Gamma(0) (N) and products of Jacobi theta functions | - |
dc.type | Article | - |
dc.identifier.doi | 10.4171/JEMS/864 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of the European Mathematical Society, v.21, no.5, pp.1379 - 1410 | - |
dc.identifier.wosid | 000462708600004 | - |
dc.citation.endPage | 1410 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 1379 | - |
dc.citation.title | Journal of the European Mathematical Society | - |
dc.citation.volume | 21 | - |
dc.contributor.affiliatedAuthor | CHOIE, YOUNG JU | - |
dc.identifier.scopusid | 2-s2.0-85063864011 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Period | - |
dc.subject.keywordAuthor | Hecke eigenform | - |
dc.subject.keywordAuthor | Jacobi theta series | - |
dc.subject.keywordAuthor | parabolic cohomology | - |
dc.subject.keywordAuthor | Rankin-Cohen brackets | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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