Publication: A simple proof of the Wiener–Ikehara Tauberian Theorem
| cris.author.scopus-author-id | 55664307800 | |
| cris.author.scopus-author-id | 58974635700 | |
| cris.author.scopus-author-id | 57191478039 | |
| cris.lastimport.scopus | 2026-04-07T05:51:11Z | |
| cris.sourceId | 26451 | |
| cris.virtual.department | Mathematics | |
| cris.virtual.orcid | 0000-0002-7970-9746 | |
| cris.virtualsource.department | a963b917-facf-4f40-b8d2-13e4ca7a326a | |
| cris.virtualsource.orcid | a963b917-facf-4f40-b8d2-13e4ca7a326a | |
| dc.author.category | Ph. D. | |
| dc.author.category | Faculty | |
| dc.bid | 8415 | |
| dc.contributor.affiliation | Queen’s University | |
| dc.contributor.affiliation | Indian Institute of Technology Gandhinagar | |
| dc.contributor.affiliation | Indian Institute of Technology Gandhinagar | |
| dc.contributor.affiliation | Queen’s University | |
| dc.contributor.affiliation | Indian Institute of Technology Gandhinagar | |
| dc.contributor.author | Murty, M. Ram | |
| dc.contributor.author | Sahoo, Jagannath | |
| dc.contributor.author | Vatwani, Akshaa | |
| dc.coverage.spatial | United States of America | |
| dc.date.accessioned | 2025-08-31T20:39:10Z | |
| dc.date.available | 2025-08-31T20:39:10Z | |
| dc.date.issued | 2024-05-01 | |
| dc.description.abstract | The Wiener–Ikehara Tauberian theorem is an important theorem giving an asymptotic formula for the sum of coefficients of a Dirichlet series [Formula presented]. We provide a simple and elegant proof of the Wiener–Ikehara Tauberian theorem which relies only on basic Fourier analysis and known estimates for the given Dirichlet series. This method also allows us to derive a version of the Wiener–Ikehara theorem with an error term. | |
| dc.identifier.articlenumber | 125570 | |
| dc.identifier.citedby | 2 | |
| dc.identifier.coverDisplayDate | May 2024 | |
| dc.identifier.crossref_citation | 2 | |
| dc.identifier.doi | 10.1016/j.exmath.2024.125570 | |
| dc.identifier.pageRange | ||
| dc.identifier.scopus | 2-s2.0-85189675444 | |
| dc.identifier.upurl | ||
| dc.identifier.uri | https://repository.iitgn.ac.in/handle/IITG2025/28934 | |
| dc.identifier.wos | WOS:001223683300001 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Expositiones Mathematicae | |
| dc.relation.ispartofseries | Expositiones Mathematicae | |
| dc.relation.issn | 07230869 | |
| dc.right | 0 | |
| dc.rights | false | |
| dc.scopus.quartile | Q2 | |
| dc.source | Expositiones Mathematicae | |
| dc.subject | Fourier analysis | Tauberian theorems | The Wiener–Ikehara theorem | |
| dc.subject_scopus | NA | |
| dc.subject_wos | NA | |
| dc.title | A simple proof of the Wiener–Ikehara Tauberian Theorem | |
| dc.type | Article | |
| dc.wos.quartile | Q2 | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 3 | |
| oaire.citation.volume | 42 | |
| oaire.venue.unpaywall | close | |
| person.affiliation.city | Kingston | |
| person.affiliation.city | Gandhinagar | |
| person.affiliation.country | Canada | |
| person.affiliation.country | India | |
| person.affiliation.id | 60016005 | |
| person.affiliation.id | 60104341 | |
| person.identifier.orcid | 0000-0002-7970-9746 | |
| person.identifier.scopus-author-id | 55664307800 | |
| person.identifier.scopus-author-id | 58974635700 | |
| person.identifier.scopus-author-id | 57191478039 |