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Article: Polar harmonic Maass forms and their applications
| Title | Polar harmonic Maass forms and their applications |
|---|---|
| Authors | |
| Keywords | Fourier coefficients Height functions on divisors Higher Green’s functions Inner products Meromorphic modular forms Polar harmonic Maass forms |
| Issue Date | 2016 |
| Publisher | Springer. The Journal's web site is located at http://www.springer.com/mathematics/journal/12188 |
| Citation | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2016, v. 86 n. 2, p. 213-233 How to Cite? |
| Abstract | In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of meromorphic modular forms and higher Green's functions evaluated at CM-points. |
| Persistent Identifier | http://hdl.handle.net/10722/229217 |
| ISSN | 2023 Impact Factor: 0.4 2023 SCImago Journal Rankings: 0.259 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, K | - |
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2016-08-23T14:09:43Z | - |
| dc.date.available | 2016-08-23T14:09:43Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier.citation | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2016, v. 86 n. 2, p. 213-233 | - |
| dc.identifier.issn | 0025-5858 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/229217 | - |
| dc.description.abstract | In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of meromorphic modular forms and higher Green's functions evaluated at CM-points. | - |
| dc.language | eng | - |
| dc.publisher | Springer. The Journal's web site is located at http://www.springer.com/mathematics/journal/12188 | - |
| dc.relation.ispartof | Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg | - |
| dc.rights | The final publication is available at Springer via http://dx.doi.org/10.1007/s12188-016-0134-5 | - |
| dc.subject | Fourier coefficients | - |
| dc.subject | Height functions on divisors | - |
| dc.subject | Higher Green’s functions | - |
| dc.subject | Inner products | - |
| dc.subject | Meromorphic modular forms | - |
| dc.subject | Polar harmonic Maass forms | - |
| dc.title | Polar harmonic Maass forms and their applications | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1007/s12188-016-0134-5 | - |
| dc.identifier.scopus | eid_2-s2.0-84988703021 | - |
| dc.identifier.hkuros | 260188 | - |
| dc.identifier.volume | 86 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 213 | - |
| dc.identifier.epage | 233 | - |
| dc.identifier.isi | WOS:000386615600006 | - |
| dc.publisher.place | Germany | - |
| dc.identifier.issnl | 0025-5858 | - |