GL(2) Weyl Bound via a multiplicative character delta method
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866916959313985536 |
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| author | Leung, Wing Hong |
| author_facet | Leung, Wing Hong |
| contents | We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in $t$-aspect for a holomorphic or Hecke-Maass cusp form of arbitrary level and nebentypus. This parallels the work of Aggarwal in 2018, with the difference being multiplicative character has a more natural connection to the twisted $L$-function. This provides another view point to understand and explore the trivial and other delta methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_05577 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | GL(2) Weyl Bound via a multiplicative character delta method Leung, Wing Hong Number Theory 11F66, 11M41 We use a trivial delta method with multiplicative characters for congruence detection to prove the Weyl bound for GL(2) in $t$-aspect for a holomorphic or Hecke-Maass cusp form of arbitrary level and nebentypus. This parallels the work of Aggarwal in 2018, with the difference being multiplicative character has a more natural connection to the twisted $L$-function. This provides another view point to understand and explore the trivial and other delta methods. |
| title | GL(2) Weyl Bound via a multiplicative character delta method |
| topic | Number Theory 11F66, 11M41 |
| url | https://arxiv.org/abs/2102.05577 |