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- Publisher Website: 10.1016/j.jmaa.2022.126623
- Scopus: eid_2-s2.0-85137302522
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Article: Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function
| Title | Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function |
|---|---|
| Authors | |
| Keywords | L-functions Meromorphic modular forms Riemann zeta function |
| Issue Date | 15-Jan-2023 |
| Publisher | Elsevier |
| Citation | Journal of Mathematical Analysis and Applications, 2023, v. 517, n. 2 How to Cite? |
| Abstract | In this paper, we construct a family of generalized L-functions, one for each point z in the upper half-plane that is not equivalent to an element in iR(+). We prove that as z approaches i infinity these generalized L-functions converge to an L-function which can be written in terms of the Riemann zeta function. |
| Persistent Identifier | http://hdl.handle.net/10722/340887 |
| ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.816 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, Kathrin | - |
| dc.contributor.author | Kane, Ben | - |
| dc.date.accessioned | 2024-03-11T10:48:02Z | - |
| dc.date.available | 2024-03-11T10:48:02Z | - |
| dc.date.issued | 2023-01-15 | - |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, 2023, v. 517, n. 2 | - |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/340887 | - |
| dc.description.abstract | <p>In this paper, we construct a family of generalized L-functions, one for each point z in the upper half-plane that is not equivalent to an element in iR(+). We prove that as z approaches i infinity these generalized L-functions converge to an L-function which can be written in terms of the Riemann zeta function.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | - |
| dc.subject | L-functions | - |
| dc.subject | Meromorphic modular forms | - |
| dc.subject | Riemann zeta function | - |
| dc.title | Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.jmaa.2022.126623 | - |
| dc.identifier.scopus | eid_2-s2.0-85137302522 | - |
| dc.identifier.volume | 517 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.eissn | 1096-0813 | - |
| dc.identifier.isi | WOS:000877382300021 | - |
| dc.identifier.issnl | 0022-247X | - |