Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866910461143810048 |
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| author | Bruedern, Joerg Wooley, Trevor D. |
| author_facet | Bruedern, Joerg Wooley, Trevor D. |
| contents | We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition. Our methods employ the arithmetic harmonic analysis of smooth quartic Weyl sums and also a new estimate for their tenth moment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1507_07465 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations Bruedern, Joerg Wooley, Trevor D. Number Theory 11D72, 11P55, 11E76 We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition. Our methods employ the arithmetic harmonic analysis of smooth quartic Weyl sums and also a new estimate for their tenth moment. |
| title | Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations |
| topic | Number Theory 11D72, 11P55, 11E76 |
| url | https://arxiv.org/abs/1507.07465 |