L-series of harmonic Maass forms and a summation formula for harmonic lifts
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866909111098015744 |
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| author | Diamantis, Nikolaos Lee, Min Raji, Wissam Rolen, Larry |
| author_facet | Diamantis, Nikolaos Lee, Min Raji, Wissam Rolen, Larry |
| contents | We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we formulate and prove a summation formula for the holomorphic part of a harmonic lift of a given cusp form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_12366 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | L-series of harmonic Maass forms and a summation formula for harmonic lifts Diamantis, Nikolaos Lee, Min Raji, Wissam Rolen, Larry Number Theory 11F67 We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we formulate and prove a summation formula for the holomorphic part of a harmonic lift of a given cusp form. |
| title | L-series of harmonic Maass forms and a summation formula for harmonic lifts |
| topic | Number Theory 11F67 |
| url | https://arxiv.org/abs/2107.12366 |