Estimates for smooth Weyl sums on major arcs
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913368182358016 |
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| author | Bruedern, Joerg Wooley, Trevor D. |
| author_facet | Bruedern, Joerg Wooley, Trevor D. |
| contents | We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy-Littlewood method. In particular, we derive mean value estimates on major arcs for smooth Weyl sums of degree $k$ delivering essentially optimal bounds for moments of order $u$ whenever $u>2\lfloor k/2\rfloor +4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18608 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimates for smooth Weyl sums on major arcs Bruedern, Joerg Wooley, Trevor D. Number Theory 11L07, 11L15, 11P55, 11P05 We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy-Littlewood method. In particular, we derive mean value estimates on major arcs for smooth Weyl sums of degree $k$ delivering essentially optimal bounds for moments of order $u$ whenever $u>2\lfloor k/2\rfloor +4$. |
| title | Estimates for smooth Weyl sums on major arcs |
| topic | Number Theory 11L07, 11L15, 11P55, 11P05 |
| url | https://arxiv.org/abs/2405.18608 |