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Article: An extension of Rohrlich's Theorem to the j-function
| Title | An extension of Rohrlich's Theorem to the j-function |
|---|---|
| Authors | |
| Keywords | Modular forms Siegel modular forms Holomorphic modular |
| Issue Date | 2020 |
| Publisher | Cambridge University Press (CUP): Creative Commons Attribution. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FMS |
| Citation | Forum of Mathematics, Sigma, 2020, v. 8, p. article no. e3 How to Cite? |
| Abstract | We start by recalling the following theorem of Rohrlich [17]. To state it, let denote half of the size of the stabilizer of in and for a meromorphic function let be the order of vanishing of at. Moreover, define, where, and set, where. Rohrlich's theorem may be stated in terms of the Petersson inner product, denoted by. © The Author(s) 2020. |
| Persistent Identifier | http://hdl.handle.net/10722/279451 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 1.610 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, K | - |
| dc.contributor.author | Kane, B | - |
| dc.date.accessioned | 2019-11-01T07:17:36Z | - |
| dc.date.available | 2019-11-01T07:17:36Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | Forum of Mathematics, Sigma, 2020, v. 8, p. article no. e3 | - |
| dc.identifier.issn | 2050-5094 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/279451 | - |
| dc.description.abstract | We start by recalling the following theorem of Rohrlich [17]. To state it, let denote half of the size of the stabilizer of in and for a meromorphic function let be the order of vanishing of at. Moreover, define, where, and set, where. Rohrlich's theorem may be stated in terms of the Petersson inner product, denoted by. © The Author(s) 2020. | - |
| dc.language | eng | - |
| dc.publisher | Cambridge University Press (CUP): Creative Commons Attribution. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FMS | - |
| dc.relation.ispartof | Forum of Mathematics, Sigma | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | Modular forms | - |
| dc.subject | Siegel modular forms | - |
| dc.subject | Holomorphic modular | - |
| dc.title | An extension of Rohrlich's Theorem to the j-function | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, B: bkane@hku.hk | - |
| dc.identifier.authority | Kane, B=rp01820 | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1017/fms.2019.46 | - |
| dc.identifier.scopus | eid_2-s2.0-85078304552 | - |
| dc.identifier.hkuros | 308596 | - |
| dc.identifier.volume | 8 | - |
| dc.identifier.spage | article no. e3 | - |
| dc.identifier.epage | article no. e3 | - |
| dc.identifier.isi | WOS:000519756000001 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 2050-5094 | - |