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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.03768 |
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| _version_ | 1866912433910579200 |
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| author | Bordignon, Matteo Bortolotto, Cynthia Kerr, Bryce |
| author_facet | Bordignon, Matteo Bortolotto, Cynthia Kerr, Bryce |
| contents | In this paper we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefcients to the setting of Weyl sums. As applications, we establish a joint equidistribution result for roots of polynomial congruences and polynomial values and obtain some new results for mixed character sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03768 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weyl sums with multiplicative coefficients and joint equidistribution Bordignon, Matteo Bortolotto, Cynthia Kerr, Bryce Number Theory In this paper we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefcients to the setting of Weyl sums. As applications, we establish a joint equidistribution result for roots of polynomial congruences and polynomial values and obtain some new results for mixed character sums. |
| title | Weyl sums with multiplicative coefficients and joint equidistribution |
| topic | Number Theory |
| url | https://arxiv.org/abs/2303.03768 |