Large character sums with multiplicative coefficients
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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_ | 1866909782168829952 |
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| author | Dong, Zikang Song, Yutong Wang, Weijia Zhang, Hao Zhao, Shengbo |
| author_facet | Dong, Zikang Song, Yutong Wang, Weijia Zhang, Hao Zhao, Shengbo |
| contents | In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n\le N}f(n)χ(n)$. We prove a new Omega result in the region $\exp((\log q)^{\frac12+δ})\le N\le\sqrt q$, where $q$ is the prime modulus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large character sums with multiplicative coefficients Dong, Zikang Song, Yutong Wang, Weijia Zhang, Hao Zhao, Shengbo Number Theory In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n\le N}f(n)χ(n)$. We prove a new Omega result in the region $\exp((\log q)^{\frac12+δ})\le N\le\sqrt q$, where $q$ is the prime modulus. |
| title | Large character sums with multiplicative coefficients |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.09649 |