Estimates for trilinear and quadrilinear character sums
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915205095620608 |
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| author | Fouvry, Étienne Shparlinski, Igor E. Xi, Ping |
| author_facet | Fouvry, Étienne Shparlinski, Igor E. Xi, Ping |
| contents | We obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new problem on oscillations of characters on differences between Farey fractions is given. Other applications include a modular analogue of a multiplicative hybrid problem of Iwaniec and Sárközy (1987) and the solvability of some prime type equations with constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09295 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimates for trilinear and quadrilinear character sums Fouvry, Étienne Shparlinski, Igor E. Xi, Ping Number Theory We obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new problem on oscillations of characters on differences between Farey fractions is given. Other applications include a modular analogue of a multiplicative hybrid problem of Iwaniec and Sárközy (1987) and the solvability of some prime type equations with constraints. |
| title | Estimates for trilinear and quadrilinear character sums |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.09295 |