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Article: Twisted moments of automorphic L-functions
Title | Twisted moments of automorphic L-functions | ||||||||
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Authors | |||||||||
Keywords | Center Of The Critical Strip Edge Of The Critical Strip L-Function Modular Forms Moments Symmetric Square | ||||||||
Issue Date | 2010 | ||||||||
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt | ||||||||
Citation | Journal Of Number Theory, 2010, v. 130 n. 12, p. 2773-2802 How to Cite? | ||||||||
Abstract | We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity. © 2010 Elsevier Inc. | ||||||||
Persistent Identifier | http://hdl.handle.net/10722/156258 | ||||||||
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 | ||||||||
ISI Accession Number ID |
Funding Information: We began working on this paper during a visit of the first author at Universite Blaise Pascal Clermont-Ferrand 2 and continued during the visits of the second and third authors at the University of Hong Kong. This work is supported by the PROCORE - France/Hong Kong Joint Research Scheme (F-HK36/07T). The first author is also partially supported by the Hong Kong General Research Fund (HKU702308P). The second author is partially funded by the ANR project "Modunombres". | ||||||||
References | |||||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Lau, YK | en_US |
dc.contributor.author | Royer, E | en_US |
dc.contributor.author | Wu, J | en_US |
dc.date.accessioned | 2012-08-08T08:41:03Z | - |
dc.date.available | 2012-08-08T08:41:03Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | Journal Of Number Theory, 2010, v. 130 n. 12, p. 2773-2802 | en_US |
dc.identifier.issn | 0022-314X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156258 | - |
dc.description.abstract | We study the moments of the symmetric power L-functions of primitive forms at the edge of the critical strip twisted by the square of the value of the standard L-function at the center of the critical strip. We give a precise expansion of the moments as the order goes to infinity. © 2010 Elsevier Inc. | en_US |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt | en_US |
dc.relation.ispartof | Journal of Number Theory | en_US |
dc.subject | Center Of The Critical Strip | en_US |
dc.subject | Edge Of The Critical Strip | en_US |
dc.subject | L-Function | en_US |
dc.subject | Modular Forms | en_US |
dc.subject | Moments | en_US |
dc.subject | Symmetric Square | en_US |
dc.title | Twisted moments of automorphic L-functions | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lau, YK:yklau@maths.hku.hk | en_US |
dc.identifier.authority | Lau, YK=rp00722 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.jnt.2010.04.009 | en_US |
dc.identifier.scopus | eid_2-s2.0-77956159313 | en_US |
dc.identifier.hkuros | 183892 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77956159313&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 130 | en_US |
dc.identifier.issue | 12 | en_US |
dc.identifier.spage | 2773 | en_US |
dc.identifier.epage | 2802 | en_US |
dc.identifier.isi | WOS:000282410100013 | - |
dc.publisher.place | United States | en_US |
dc.relation.project | Moments for automorphic L-functions | - |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_US |
dc.identifier.scopusauthorid | Royer, E=7003387846 | en_US |
dc.identifier.scopusauthorid | Wu, J=7409256406 | en_US |
dc.identifier.citeulike | 7840229 | - |
dc.identifier.issnl | 0022-314X | - |