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DC Field | Value | Language |
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dc.citation.endPage | 940 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 907 | - |
dc.citation.title | AMERICAN JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 141 | - |
dc.contributor.author | Sun, Hae-sang | - |
dc.date.accessioned | 2023-12-21T18:55:16Z | - |
dc.date.available | 2023-12-21T18:55:16Z | - |
dc.date.created | 2019-01-09 | - |
dc.date.issued | 2019-08 | - |
dc.description.abstract | Let $p$ be an odd prime. We show that the compositum of the Hecke field of a normalized Hecke eigen cuspform for ${\rm GL}(2)$ over $\Bbb{Q}$ and a cyclotomic field of a $p$-power degree over $\Bbb{Q}$, namely the cyclotomic Hecke field, is generated by a single algebraic critical value of the corresponding $L$-function twisted by a Dirichlet character of sufficiently large $p$-power conductor when the level of cuspform is relatively prime to $p$. The same result holds when the level is divisible by $p$ if we assume further that the cuspform does not have an inner twist. This is a stronger version of a result of Luo-Ramakrishnan. As a consequence, we reformulate a result of H. Hida on the growth of Hecke fields in a Hida family, in terms of special $L$-values. | - |
dc.identifier.bibliographicCitation | AMERICAN JOURNAL OF MATHEMATICS, v.141, no.4, pp.907 - 940 | - |
dc.identifier.doi | 10.1353/ajm.2019.0024 | - |
dc.identifier.issn | 0002-9327 | - |
dc.identifier.scopusid | 2-s2.0-85071159701 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/25607 | - |
dc.identifier.url | https://muse.jhu.edu/article/730009 | - |
dc.identifier.wosid | 000476884200003 | - |
dc.language | 영어 | - |
dc.publisher | JOHNS HOPKINS UNIV PRESS | - |
dc.title | GENERATION OF CYCLOTOMIC HECKE FIELDS BY MODULAR L-VALUES WITH CYCLOTOMIC TWISTS | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | ELLIPTIC-CURVES | - |
dc.subject.keywordPlus | FORMS | - |
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