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Article: Coefficients of symmetric square L-functions
Title | Coefficients of symmetric square L-functions | ||||||||||
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Authors | |||||||||||
Keywords | ℬ-free numbers Fourier coefficients of modular forms | ||||||||||
Issue Date | 2010 | ||||||||||
Publisher | Science China Press, co-published with Springer. The Journal's web site is located at http://math.scichina.com/english/ | ||||||||||
Citation | Science China Mathematics, 2010, v. 53 n. 9, p. 2317-2328 How to Cite? | ||||||||||
Abstract | Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f. We prove Ω± results for λsym2f(n) and evaluate the number of positive (resp., negative) λsym2f(n) in some intervals. © 2010 Science China Press and Springer-Verlag Berlin Heidelberg. | ||||||||||
Persistent Identifier | http://hdl.handle.net/10722/142366 | ||||||||||
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 1.060 | ||||||||||
ISI Accession Number ID |
Funding Information: Part of this work was done when the first and third authors visited the School of Mathematics at Shandong University in the summer of 2009. This was finished during the visit of the first author at l'Institut Elie Cartan de l'Universite Henri Poincare (Nancy 1) in the winter of 2009, as well as during the visit of second author at the Institute for Advanced Study, Princeton, in the academic year 2009-2010. The second author is grateful to the James D. Wolfensohn Fund, the S. S. Chern Fund, the Minerva Research Foundation, and also National Natural Science Foundation of China (Grant No. 10531060) for their supports during the academic year. It is a pleasure to record our thanks to these three institutions for hospitality. | ||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lau, YK | en_HK |
dc.contributor.author | Liu, JY | en_HK |
dc.contributor.author | Wu, J | en_HK |
dc.date.accessioned | 2011-10-28T02:44:18Z | - |
dc.date.available | 2011-10-28T02:44:18Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | Science China Mathematics, 2010, v. 53 n. 9, p. 2317-2328 | en_HK |
dc.identifier.issn | 1674-7283 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/142366 | - |
dc.description.abstract | Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function associated with a holomorphic primitive cusp form f. We prove Ω± results for λsym2f(n) and evaluate the number of positive (resp., negative) λsym2f(n) in some intervals. © 2010 Science China Press and Springer-Verlag Berlin Heidelberg. | en_HK |
dc.language | eng | en_US |
dc.publisher | Science China Press, co-published with Springer. The Journal's web site is located at http://math.scichina.com/english/ | en_HK |
dc.relation.ispartof | Science China Mathematics | en_HK |
dc.subject | ℬ-free numbers | en_HK |
dc.subject | Fourier coefficients of modular forms | en_HK |
dc.title | Coefficients of symmetric square L-functions | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Lau, YK:yklau@maths.hku.hk | en_HK |
dc.identifier.authority | Lau, YK=rp00722 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s11425-010-4046-z | en_HK |
dc.identifier.scopus | eid_2-s2.0-77956464046 | en_HK |
dc.identifier.hkuros | 184573 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77956464046&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 53 | en_HK |
dc.identifier.issue | 9 | en_HK |
dc.identifier.spage | 2317 | en_HK |
dc.identifier.epage | 2328 | en_HK |
dc.identifier.isi | WOS:000281670200010 | - |
dc.publisher.place | China | en_HK |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_HK |
dc.identifier.scopusauthorid | Liu, JY=7410107044 | en_HK |
dc.identifier.scopusauthorid | Wu, J=7409256406 | en_HK |
dc.identifier.issnl | 1869-1862 | - |