On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909831162494976 |
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| author | Balkanova, Olga Frolenkov, Dmitry Wu, Han |
| author_facet | Balkanova, Olga Frolenkov, Dmitry Wu, Han |
| contents | We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwartz functions of various kinds and the invariance of the relevant Motohashi's distributions discovered in a previous paper play central roles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_12283 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case Balkanova, Olga Frolenkov, Dmitry Wu, Han Number Theory We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwartz functions of various kinds and the invariance of the relevant Motohashi's distributions discovered in a previous paper play central roles. |
| title | On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case |
| topic | Number Theory |
| url | https://arxiv.org/abs/2108.12283 |