Moments of ideal class counting functions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916081691525120 |
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| author | Au, Kam Cheong |
| author_facet | Au, Kam Cheong |
| contents | We consider the counting function of ideals in a given ideal class of a number field of degree $d$. This describes, at least conjecturally, the Fourier coefficients of an automorphic form on $\text{GL}(d)$, typically not a Hecke eigenform and not cuspidal. We compute its moments, and also investigate the moments of the corresponding cuspidal projection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02380 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moments of ideal class counting functions Au, Kam Cheong Number Theory Representation Theory 11N37, 11R42 (Primary) 11F30, 20C15 (Secondary) We consider the counting function of ideals in a given ideal class of a number field of degree $d$. This describes, at least conjecturally, the Fourier coefficients of an automorphic form on $\text{GL}(d)$, typically not a Hecke eigenform and not cuspidal. We compute its moments, and also investigate the moments of the corresponding cuspidal projection. |
| title | Moments of ideal class counting functions |
| topic | Number Theory Representation Theory 11N37, 11R42 (Primary) 11F30, 20C15 (Secondary) |
| url | https://arxiv.org/abs/2307.02380 |