Reciprocity for GL(2) L-functions twisted by Dirichlet characters
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909986238496768 |
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| author | Dasgupta, Agniva Khan, Rizwanur Tang, Ze Sen |
| author_facet | Dasgupta, Agniva Khan, Rizwanur Tang, Ze Sen |
| contents | A formula connecting a moment of L-functions and a dual moment in a way that interchanges the roles of certain key parameters on both sides is known as a reciprocity relation. We establish a reciprocity relation for a first moment of GL(2) L-functions twisted by Dirichlet characters. This extends, via a new and simple argument, some results of Bettin, Drappeau, and Nordentoft. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reciprocity for GL(2) L-functions twisted by Dirichlet characters Dasgupta, Agniva Khan, Rizwanur Tang, Ze Sen Number Theory A formula connecting a moment of L-functions and a dual moment in a way that interchanges the roles of certain key parameters on both sides is known as a reciprocity relation. We establish a reciprocity relation for a first moment of GL(2) L-functions twisted by Dirichlet characters. This extends, via a new and simple argument, some results of Bettin, Drappeau, and Nordentoft. |
| title | Reciprocity for GL(2) L-functions twisted by Dirichlet characters |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.12401 |