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Article: Sums of fourier coefficients of CUSP forms
Title | Sums of fourier coefficients of CUSP forms | ||||||||||
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Authors | |||||||||||
Issue Date | 2011 | ||||||||||
Publisher | Oxford University Press. The Journal's web site is located at http://qjmath.oxfordjournals.org/ | ||||||||||
Citation | Quarterly Journal Of Mathematics, 2011, v. 62 n. 3, p. 687-716 How to Cite? | ||||||||||
Abstract | Let tφ(n) denote the nth normalized Fourier coefficient of a primitive holomorphic or Maass cusp form φ for the full modular group SL(2,ℤ). In this paper, we are concerned with the upper bound and omega results for the summatory function ∑n≤xt φ(nj) Asymptotic formulae for high power moments of tφ(n) are (conditionally) established. © 2010. Published by Oxford University Press. All rights reserved. | ||||||||||
Persistent Identifier | http://hdl.handle.net/10722/144542 | ||||||||||
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.378 | ||||||||||
ISI Accession Number ID |
Funding Information: The first author was supported by a grant (HKU 702308P) from the Research Grants Council of the Hong Kong Special Administrative Region, China. The second author was supported in part by the National Natural Science Foundation of China (Grant No. 10701048), Shandong Province Natural Science Foundation (Grant No. ZR2009AM007), and IIFSDU. | ||||||||||
References | |||||||||||
Grants |
DC Field | Value | Language |
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dc.contributor.author | Lau, YK | en_HK |
dc.contributor.author | Lü, G | en_HK |
dc.date.accessioned | 2012-02-03T06:13:16Z | - |
dc.date.available | 2012-02-03T06:13:16Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | Quarterly Journal Of Mathematics, 2011, v. 62 n. 3, p. 687-716 | en_HK |
dc.identifier.issn | 0033-5606 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/144542 | - |
dc.description.abstract | Let tφ(n) denote the nth normalized Fourier coefficient of a primitive holomorphic or Maass cusp form φ for the full modular group SL(2,ℤ). In this paper, we are concerned with the upper bound and omega results for the summatory function ∑n≤xt φ(nj) Asymptotic formulae for high power moments of tφ(n) are (conditionally) established. © 2010. Published by Oxford University Press. All rights reserved. | en_HK |
dc.language | eng | en_US |
dc.publisher | Oxford University Press. The Journal's web site is located at http://qjmath.oxfordjournals.org/ | en_HK |
dc.relation.ispartof | Quarterly Journal of Mathematics | en_HK |
dc.title | Sums of fourier coefficients of CUSP forms | 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 | 10.1093/qmath/haq012 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79956282253 | en_HK |
dc.identifier.hkuros | 198390 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79956282253&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 62 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 687 | en_HK |
dc.identifier.epage | 716 | en_HK |
dc.identifier.eissn | 1464-3847 | - |
dc.identifier.isi | WOS:000294123700010 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.relation.project | Closed Geodesics on the Modular Surface | - |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_HK |
dc.identifier.scopusauthorid | Lü, G=8571609600 | en_HK |
dc.identifier.citeulike | 9707167 | - |
dc.identifier.issnl | 0033-5606 | - |