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Article: Regularized inner products and weakly holomorphic Hecke eigenforms
| Title | Regularized inner products and weakly holomorphic Hecke eigenforms |
|---|---|
| Authors | |
| Keywords | Harmonic Maass forms Hecke eigenforms Regularized inner products Weakly holomorphic modular forms |
| Issue Date | 2017 |
| Publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1751-8121/ |
| Citation | Journal of Physics A: Mathematical and Theoretical, 2017, v. 51, p. 044001 How to Cite? |
| Abstract | An interpretation of Guerzhoy's integral weight weakly holomorphic Hecke eigenforms via regularized inner products is given in this paper. In particular, Guerzhoy's eigenforms are eigenvectors in the quotient space of weakly holomorphic modular forms modulo a certain subspace, and it is shown in this paper that the subspace which is factored out is precisely the subspace that is orthogonal to all weakly holomorphic modular forms under an appropriate (regularize) inner product. |
| Persistent Identifier | http://hdl.handle.net/10722/249999 |
| ISSN | 2023 Impact Factor: 2.0 2023 SCImago Journal Rankings: 0.769 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, K | - |
| dc.contributor.author | Kane, BR | - |
| dc.date.accessioned | 2017-12-20T09:19:11Z | - |
| dc.date.available | 2017-12-20T09:19:11Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 2017, v. 51, p. 044001 | - |
| dc.identifier.issn | 1751-8113 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/249999 | - |
| dc.description.abstract | An interpretation of Guerzhoy's integral weight weakly holomorphic Hecke eigenforms via regularized inner products is given in this paper. In particular, Guerzhoy's eigenforms are eigenvectors in the quotient space of weakly holomorphic modular forms modulo a certain subspace, and it is shown in this paper that the subspace which is factored out is precisely the subspace that is orthogonal to all weakly holomorphic modular forms under an appropriate (regularize) inner product. | - |
| dc.language | eng | - |
| dc.publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/1751-8121/ | - |
| dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | - |
| dc.rights | Journal of Physics A: Mathematical and Theoretical. Copyright © Institute of Physics Publishing Ltd. | - |
| dc.rights | This is an author-created, un-copyedited version of an article published in [Journal of Physics A: Mathematical and Theoretical]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8121/aa9854 | - |
| dc.subject | Harmonic Maass forms | - |
| dc.subject | Hecke eigenforms | - |
| dc.subject | Regularized inner products | - |
| dc.subject | Weakly holomorphic modular forms | - |
| dc.title | Regularized inner products and weakly holomorphic Hecke eigenforms | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, BR: bkane@hku.hk | - |
| dc.identifier.authority | Kane, BR=rp01820 | - |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1088/1751-8121/aa9854 | - |
| dc.identifier.scopus | eid_2-s2.0-85041654478 | - |
| dc.identifier.hkuros | 283728 | - |
| dc.identifier.volume | 51 | - |
| dc.identifier.spage | 044001 | - |
| dc.identifier.epage | 044001 | - |
| dc.identifier.isi | WOS:000418412000001 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 1751-8113 | - |