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Article: Differential operators on polar harmonic Maass forms and elliptic duality
| Title | Differential operators on polar harmonic Maass forms and elliptic duality |
|---|---|
| Authors | |
| Issue Date | 2019 |
| Publisher | Oxford University Press. The Journal's web site is located at http://qjmath.oxfordjournals.org/ |
| Citation | The Quarterly Journal of Mathematics, 2019, v. 70, p. 111-1207 How to Cite? |
| Abstract | In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincaré series which span the space of such forms and show that their elliptic coefficients exhibit duality properties which are similar to the properties known for Fourier coefficients of harmonic Maass forms and weakly holomorphic modular forms. |
| Persistent Identifier | http://hdl.handle.net/10722/269429 |
| ISSN | 2021 Impact Factor: 0.642 2020 SCImago Journal Rankings: 0.922 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, K | - |
| dc.contributor.author | Jenkins, P | - |
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2019-04-24T08:07:31Z | - |
| dc.date.available | 2019-04-24T08:07:31Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | The Quarterly Journal of Mathematics, 2019, v. 70, p. 111-1207 | - |
| dc.identifier.issn | 0033-5606 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/269429 | - |
| dc.description.abstract | In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincaré series which span the space of such forms and show that their elliptic coefficients exhibit duality properties which are similar to the properties known for Fourier coefficients of harmonic Maass forms and weakly holomorphic modular forms. | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press. The Journal's web site is located at http://qjmath.oxfordjournals.org/ | - |
| dc.relation.ispartof | The Quarterly Journal of Mathematics | - |
| dc.rights | Pre-print: Journal Title] ©: [year] [owner as specified on the article] Published by Oxford University Press [on behalf of xxxxxx]. All rights reserved. Pre-print (Once an article is published, preprint notice should be amended to): This is an electronic version of an article published in [include the complete citation information for the final version of the Article as published in the print edition of the Journal.] Post-print: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: xxxxxxx [insert URL that the author will receive upon publication here]. | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Differential operators on polar harmonic Maass forms and elliptic duality | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1093/qmath/haz009 | - |
| dc.identifier.scopus | eid_2-s2.0-85082470141 | - |
| dc.identifier.hkuros | 297340 | - |
| dc.identifier.volume | 70 | - |
| dc.identifier.spage | 111 | - |
| dc.identifier.epage | 1207 | - |
| dc.identifier.isi | WOS:000509670100002 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 0033-5606 | - |