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Article: The first negative coefficients of symmetric square L-functions
| Title | The first negative coefficients of symmetric square L-functions | ||||
|---|---|---|---|---|---|
| Authors | |||||
| Keywords | Fourier Coefficients Of Modular Forms | ||||
| Issue Date | 2012 | ||||
| Publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1382-4090 | ||||
| Citation | Ramanujan Journal, 2012, v. 27 n. 3, p. 419-441 How to Cite? | ||||
| Abstract | Let n sym2f be the greatest integer such that b.λ sym2 f(n) ≥ 0 for all n | ||||
| Persistent Identifier | http://hdl.handle.net/10722/156284 | ||||
| ISSN | 2021 Impact Factor: 0.804 2020 SCImago Journal Rankings: 0.602 | ||||
| ISI Accession Number ID |
Funding Information: The authors are grateful to the referee for carefully reading the manuscript and detailed comments. Lau and Liu wish to thank l'Institut Elie Cartan Nancy (IECN) for the hospitality and support during the preparation of this article. We would like to acknowledge E. Kowalski for his unpublished work [12], which constitutes the base of Sect. 2 here. | ||||
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lau, YK | en_US |
| dc.contributor.author | Liu, JY | en_US |
| dc.contributor.author | Wu, J | en_US |
| dc.date.accessioned | 2012-08-08T08:41:10Z | - |
| dc.date.available | 2012-08-08T08:41:10Z | - |
| dc.date.issued | 2012 | en_US |
| dc.identifier.citation | Ramanujan Journal, 2012, v. 27 n. 3, p. 419-441 | en_US |
| dc.identifier.issn | 1382-4090 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/156284 | - |
| dc.description.abstract | Let n sym2f be the greatest integer such that b.λ sym2 f(n) ≥ 0 for all n <n sym2f and (n,N) equals 1, where b.lambda sym2f(n) is the nth coefficient of the Dirichlet series representation of the symmetric square L-function L(s,sym 2f) associated to a primitive form f of level N and of weight k. In this paper, we establish the subconvexity bound:n sym2f <(k 2N 2) 40/113 where the implied constant is absolute. © 2011 Springer Science+Business Media, LLC. | en_US |
| dc.language | eng | en_US |
| dc.publisher | Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1382-4090 | en_US |
| dc.relation.ispartof | Ramanujan Journal | en_US |
| dc.subject | Fourier Coefficients Of Modular Forms | en_US |
| dc.title | The first negative coefficients of symmetric square 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 | 10.1007/s11139-011-9318-x | en_US |
| dc.identifier.scopus | eid_2-s2.0-84858996770 | en_US |
| dc.identifier.hkuros | 206538 | - |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84858996770&selection=ref&src=s&origin=recordpage | en_US |
| dc.identifier.volume | 27 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.spage | 419 | en_US |
| dc.identifier.epage | 441 | en_US |
| dc.identifier.isi | WOS:000302266800011 | - |
| dc.publisher.place | Netherlands | en_US |
| dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_US |
| dc.identifier.scopusauthorid | Liu, JY=54381809800 | en_US |
| dc.identifier.scopusauthorid | Wu, J=35216450200 | en_US |
| dc.identifier.citeulike | 10031837 | - |
| dc.identifier.issnl | 1382-4090 | - |