Quadratic character sums with multiplicative coefficients
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918129627561984 |
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| author | Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo |
| author_facet | Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo |
| contents | In this article, we study extreme values of quadratic character sums with multiplicative coefficients $\sum_{n \le N}f(n)χ_d(n)$. For a positive number $N$ within a suitable range, we employ the resonance method to establish a conditional $Ω$-result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quadratic character sums with multiplicative coefficients Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo Number Theory In this article, we study extreme values of quadratic character sums with multiplicative coefficients $\sum_{n \le N}f(n)χ_d(n)$. For a positive number $N$ within a suitable range, we employ the resonance method to establish a conditional $Ω$-result. |
| title | Quadratic character sums with multiplicative coefficients |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.16967 |