A converse theorem in half-integral weight
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909309519003648 |
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| author | Creech, Steven Twiss, Henry |
| author_facet | Creech, Steven Twiss, Henry |
| contents | In this paper, we prove a converse theorem for half-integral weight modular forms assuming functional equations for $L$-series with additive twists. This result is an extension of Booker, Farmer, and Lee's result in [BFL22] to the half-integral weight setting. Similar to their work, the main result of this paper is obtained as a consequence of the half-integral weight Petersson trace formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02872 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A converse theorem in half-integral weight Creech, Steven Twiss, Henry Number Theory In this paper, we prove a converse theorem for half-integral weight modular forms assuming functional equations for $L$-series with additive twists. This result is an extension of Booker, Farmer, and Lee's result in [BFL22] to the half-integral weight setting. Similar to their work, the main result of this paper is obtained as a consequence of the half-integral weight Petersson trace formula. |
| title | A converse theorem in half-integral weight |
| topic | Number Theory |
| url | https://arxiv.org/abs/2306.02872 |