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- Publisher Website: 10.1016/j.jnt.2011.07.003
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Article: On exponential sums involving Fourier coefficients of cusp forms
| Title | On exponential sums involving Fourier coefficients of cusp forms |
|---|---|
| Authors | |
| Keywords | Modular form for SL2(Z) Voronoi summation formula Fourier coefficients Exponential sum |
| Issue Date | 2012 |
| Citation | Journal of Number Theory, 2012, v. 132, n. 1, p. 171-181 How to Cite? |
| Abstract | Let a(n) be the normalized Fourier coefficient of a holomorphic cusp form of weight k or a Maass cusp form with Laplacian eigenvalue 14+r2 for SL2(Z). We consider exponential sum of the form Σn≤Xa(n)e(αn2+βn) and obtain the upper bound X78+ε which is uniformly in α,β∈R. © 2011 Elsevier Inc. |
| Persistent Identifier | http://hdl.handle.net/10722/265611 |
| ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Liu, Kui | - |
| dc.contributor.author | Ren, Xiumin | - |
| dc.date.accessioned | 2018-12-03T01:21:10Z | - |
| dc.date.available | 2018-12-03T01:21:10Z | - |
| dc.date.issued | 2012 | - |
| dc.identifier.citation | Journal of Number Theory, 2012, v. 132, n. 1, p. 171-181 | - |
| dc.identifier.issn | 0022-314X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/265611 | - |
| dc.description.abstract | Let a(n) be the normalized Fourier coefficient of a holomorphic cusp form of weight k or a Maass cusp form with Laplacian eigenvalue 14+r2 for SL2(Z). We consider exponential sum of the form Σn≤Xa(n)e(αn2+βn) and obtain the upper bound X78+ε which is uniformly in α,β∈R. © 2011 Elsevier Inc. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal of Number Theory | - |
| dc.subject | Modular form for SL2(Z) | - |
| dc.subject | Voronoi summation formula | - |
| dc.subject | Fourier coefficients | - |
| dc.subject | Exponential sum | - |
| dc.title | On exponential sums involving Fourier coefficients of cusp forms | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.jnt.2011.07.003 | - |
| dc.identifier.scopus | eid_2-s2.0-80053448707 | - |
| dc.identifier.volume | 132 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 171 | - |
| dc.identifier.epage | 181 | - |
| dc.identifier.isi | WOS:000295814300012 | - |
| dc.identifier.issnl | 0022-314X | - |