The large sieve for self-dual Eisenstein series of varying levels
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Accesso online: | |
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| _version_ | 1866913089519091712 |
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| author | Young, Matthew P |
| author_facet | Young, Matthew P |
| contents | We prove an essentially optimal large sieve inequality for self-dual Eisenstein series of varying levels. This bound can alternatively be interpreted as a large sieve inequality for rationals ordered by height. The method of proof is recursive, and has some elements in common with Heath-Brown's quadratic large sieve, and the asymptotic large sieve of Conrey, Iwaniec, and Soundararajan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03358 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The large sieve for self-dual Eisenstein series of varying levels Young, Matthew P Number Theory 11M06, 11N75 We prove an essentially optimal large sieve inequality for self-dual Eisenstein series of varying levels. This bound can alternatively be interpreted as a large sieve inequality for rationals ordered by height. The method of proof is recursive, and has some elements in common with Heath-Brown's quadratic large sieve, and the asymptotic large sieve of Conrey, Iwaniec, and Soundararajan. |
| title | The large sieve for self-dual Eisenstein series of varying levels |
| topic | Number Theory 11M06, 11N75 |
| url | https://arxiv.org/abs/2208.03358 |