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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | ANAMBY, PRAMATH | en_US |
| dc.contributor.author | Pal, Ritwik | en_US |
| dc.date.accessioned | 2025-04-15T06:52:36Z | - |
| dc.date.available | 2025-04-15T06:52:36Z | - |
| dc.date.issued | 2024-12 | en_US |
| dc.identifier.citation | Forum Mathematicum | en_US |
| dc.identifier.issn | 0933-7741 | en_US |
| dc.identifier.issn | 1435-5337 | en_US |
| dc.identifier.uri | https://doi.org/10.1515/forum-2023-0373 | en_US |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9537 | - |
| dc.description.abstract | We show that a pair of newforms (f,g)(f,g) can be uniquely determined by the product of the central 𝐿-values of their twists. To achieve our goal, we prove an asymptotic formula for the average of the product of the central values of two twisted 𝐿-functions, L(1/2,f×χ)L(1/2,g×χψ)L(1/2,f×χ)L(1/2,g×χψ) , where (f,g)(f,g) is a pair of newforms. The average is taken over the primitive Dirichlet characters 𝜒 and 𝜓 of distinct prime moduli. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | De Gruyter | en_US |
| dc.subject | Central value | en_US |
| dc.subject | Unique determination | en_US |
| dc.subject | Simultaneous non-vanishing | en_US |
| dc.subject | Twisted average | en_US |
| dc.subject | 2024 | en_US |
| dc.title | Determination of a pair of newforms from the product of their twisted central values | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.identifier.sourcetitle | Forum Mathematicum | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| Appears in Collections: | JOURNAL ARTICLES | |
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