DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suh Hyun | ko |
dc.contributor.author | Kim, Byoung Du | ko |
dc.date.accessioned | 2017-05-15T05:17:26Z | - |
dc.date.available | 2017-05-15T05:17:26Z | - |
dc.date.created | 2017-05-08 | - |
dc.date.created | 2017-05-08 | - |
dc.date.issued | 2017-05 | - |
dc.identifier.citation | RAMANUJAN JOURNAL, v.43, no.1, pp.163 - 195 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | http://hdl.handle.net/10203/223653 | - |
dc.description.abstract | Vatsal (Duke Math J 98(2):397-419, 1999) proved that there are congruences between the p-adic L-functions (constructed by Mazur and Swinnerton-Dyer in Invent Math 25:1-61, 1974) of congruent modular forms of the same weight under some conditions. On the other hand, Kim (J Number Theory 144: 188-218, 2014), the second author, constructed two-variable p-adic L-functions of modular forms attached to imaginary quadratic fields generalizing Hida's work (Invent Math 79:159-195, 1985), and the novelty of his construction was that it works whether p is an ordinary prime or not. In this paper, we prove congruences between the two-variable p-adic L-functions (of the second author) of congruent modular forms of different but congruent weights under some conditions when p is a nonordinary prime for the modular forms. This result generalizes the work of Emerton et al. (Invent Math 163(3): 523-580, 2006), who proved similar congruences between the p-adic L-functions of congruent modular forms of congruent weights when p is an ordinary prime. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | IWASAWA INVARIANTS | - |
dc.subject | INTERPOLATION | - |
dc.subject | CURVES | - |
dc.title | Congruences of two-variable p-adic L-functions of congruent modular forms of different weights | - |
dc.type | Article | - |
dc.identifier.wosid | 000399288100009 | - |
dc.identifier.scopusid | 2-s2.0-84986253553 | - |
dc.type.rims | ART | - |
dc.citation.volume | 43 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 163 | - |
dc.citation.endingpage | 195 | - |
dc.citation.publicationname | RAMANUJAN JOURNAL | - |
dc.identifier.doi | 10.1007/s11139-016-9819-8 | - |
dc.contributor.localauthor | Choi, Suh Hyun | - |
dc.contributor.nonIdAuthor | Kim, Byoung Du | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Number theory | - |
dc.subject.keywordAuthor | Arithmetic geometry | - |
dc.subject.keywordAuthor | Iwasawa Theory | - |
dc.subject.keywordPlus | IWASAWA INVARIANTS | - |
dc.subject.keywordPlus | INTERPOLATION | - |
dc.subject.keywordPlus | CURVES | - |
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