https://scholars.lib.ntu.edu.tw/handle/123456789/624831
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Chida M | en_US |
dc.contributor.author | Hsieh M.-L. | en_US |
dc.contributor.author | MING-LUN HSIEH | en_US |
dc.creator | Chida M;Hsieh M.-L. | - |
dc.date.accessioned | 2022-11-11T03:00:04Z | - |
dc.date.available | 2022-11-11T03:00:04Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 21954755 | - |
dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128365300&doi=10.1007%2fs40316-022-00198-6&partnerID=40&md5=deb9a264cfd4a3741a1c9d7708bc1aab | - |
dc.identifier.uri | https://scholars.lib.ntu.edu.tw/handle/123456789/624831 | - |
dc.description.abstract | The rank one Gross conjecture for Deligne–Ribet p-adic L-functions was solved in works of Darmon-Dasgupta-Pollack and Ventullo by the Eisenstein congruence among Hilbert modular forms. The purpose of this paper is to prove an analogue of the Gross conjecture for the Katz p-adic L-functions attached to imaginary quadratic fields via the congruences between CM forms and non-CM forms. The new ingredient is to apply the p-adic Rankin–Selberg method to construct a non-CM Hida family which is congruent to a Hida family of CM forms at the 1 + ε specialization. © 2022, Fondation Carl-Herz and Springer Nature Switzerland AG. | - |
dc.relation.ispartof | Annales Mathematiques du Quebec | - |
dc.subject | L-functions; Modular forms; p-adic; Trivial zeros | - |
dc.title | The derivative formula of p-adic L-functions for imaginary quadratic fields at trivial zeros | en_US |
dc.type | journal article | en |
dc.identifier.doi | 10.1007/s40316-022-00198-6 | - |
dc.identifier.scopus | 2-s2.0-85128365300 | - |
item.cerifentitytype | Publications | - |
item.fulltext | no fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | journal article | - |
item.grantfulltext | none | - |
crisitem.author.dept | Mathematics | - |
crisitem.author.orcid | 0000-0002-7329-5167 | - |
crisitem.author.parentorg | College of Science | - |
顯示於: | 數學系 |
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