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Article: Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function

TitleGeneralized L-functions for meromorphic modular forms and their relation to the Riemann zeta function
Authors
KeywordsL-functions
Meromorphic modular forms
Riemann zeta function
Issue Date15-Jan-2023
PublisherElsevier
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 Identifierhttp://hdl.handle.net/10722/340887
ISSN
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 0.816
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBringmann, Kathrin-
dc.contributor.authorKane, Ben-
dc.date.accessioned2024-03-11T10:48:02Z-
dc.date.available2024-03-11T10:48:02Z-
dc.date.issued2023-01-15-
dc.identifier.citationJournal of Mathematical Analysis and Applications, 2023, v. 517, n. 2-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://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.languageeng-
dc.publisherElsevier-
dc.relation.ispartofJournal of Mathematical Analysis and Applications-
dc.subjectL-functions-
dc.subjectMeromorphic modular forms-
dc.subjectRiemann zeta function-
dc.titleGeneralized L-functions for meromorphic modular forms and their relation to the Riemann zeta function-
dc.typeArticle-
dc.identifier.doi10.1016/j.jmaa.2022.126623-
dc.identifier.scopuseid_2-s2.0-85137302522-
dc.identifier.volume517-
dc.identifier.issue2-
dc.identifier.eissn1096-0813-
dc.identifier.isiWOS:000877382300021-
dc.identifier.issnl0022-247X-

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