A large sieve inequality for characters to quadratic moduli
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917219781312512 |
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| author | Corrigan, C. C. |
| author_facet | Corrigan, C. C. |
| contents | In this article, we establish a large sieve inequality for additive characters to moduli in the range of appropriate integer polynomials of degree two. As an application, we derive a weighted zero-density estimate for twists of $L$-functions associated to multiplicative characters with conductor of this form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A large sieve inequality for characters to quadratic moduli Corrigan, C. C. Number Theory 11B57, 11L07, 11L15, 11L40, 11M26, 11N35 In this article, we establish a large sieve inequality for additive characters to moduli in the range of appropriate integer polynomials of degree two. As an application, we derive a weighted zero-density estimate for twists of $L$-functions associated to multiplicative characters with conductor of this form. |
| title | A large sieve inequality for characters to quadratic moduli |
| topic | Number Theory 11B57, 11L07, 11L15, 11L40, 11M26, 11N35 |
| url | https://arxiv.org/abs/2410.05704 |