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- Publisher Website: 10.1007/s00209-018-2191-1
- Scopus: eid_2-s2.0-85057801162
- WOS: WOS:000486234100032
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Article: On Fourier coefficients of modular forms of half integral weight at squarefree integers
| Title | On Fourier coefficients of modular forms of half integral weight at squarefree integers |
|---|---|
| Authors | |
| Keywords | Fourier coefficients Half-integral weight modular forms Dirichlet series |
| Issue Date | 2019 |
| Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm |
| Citation | Mathematische Zeitschrift, 2019, v. 293, p. 789-808 How to Cite? |
| Abstract | We show that the Dirichlet series associated to the Fourier coefficients of a half-integral weight Hecke eigenform at squarefree integers extends analytically to a holomorphic function in the half-plane Res>12. This exhibits a high fluctuation of the coefficients at squarefree integers and improves a sign-change result in Lau et al. (Mathematika 62:866–883, 2016). |
| Persistent Identifier | http://hdl.handle.net/10722/289433 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.097 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lau, YJ | - |
| dc.contributor.author | Jiang, YK | - |
| dc.contributor.author | Lu, GS | - |
| dc.contributor.author | Royer, E | - |
| dc.contributor.author | Wu, J | - |
| dc.date.accessioned | 2020-10-22T08:12:35Z | - |
| dc.date.available | 2020-10-22T08:12:35Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Mathematische Zeitschrift, 2019, v. 293, p. 789-808 | - |
| dc.identifier.issn | 0025-5874 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/289433 | - |
| dc.description.abstract | We show that the Dirichlet series associated to the Fourier coefficients of a half-integral weight Hecke eigenform at squarefree integers extends analytically to a holomorphic function in the half-plane Res>12. This exhibits a high fluctuation of the coefficients at squarefree integers and improves a sign-change result in Lau et al. (Mathematika 62:866–883, 2016). | - |
| dc.language | eng | - |
| dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm | - |
| dc.relation.ispartof | Mathematische Zeitschrift | - |
| dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/[insert DOI] | - |
| dc.subject | Fourier coefficients | - |
| dc.subject | Half-integral weight modular forms | - |
| dc.subject | Dirichlet series | - |
| dc.title | On Fourier coefficients of modular forms of half integral weight at squarefree integers | - |
| dc.type | Article | - |
| dc.identifier.email | Lau, YJ: yukkamlau@hku.hk | - |
| dc.identifier.authority | Lau, YJ=rp00722 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s00209-018-2191-1 | - |
| dc.identifier.scopus | eid_2-s2.0-85057801162 | - |
| dc.identifier.hkuros | 316269 | - |
| dc.identifier.volume | 293 | - |
| dc.identifier.spage | 789 | - |
| dc.identifier.epage | 808 | - |
| dc.identifier.isi | WOS:000486234100032 | - |
| dc.publisher.place | Germany | - |