On certain bilinear sums with modular square roots and applications
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912855477977088 |
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| author | Baier, Stephan |
| author_facet | Baier, Stephan |
| contents | We extend bounds on additive energies of modular square roots by Dunn, Kerr, Shparlinski, Shkredov and Zaharescu and apply these results to obtain bounds on certain bilinear exponential sums with modular square roots. From here, we make partial progress on the large sieve for square moduli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15448 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On certain bilinear sums with modular square roots and applications Baier, Stephan Number Theory 11L07, 11L26, 11L40, 11N35, 11H06, 11P21, 11D79 We extend bounds on additive energies of modular square roots by Dunn, Kerr, Shparlinski, Shkredov and Zaharescu and apply these results to obtain bounds on certain bilinear exponential sums with modular square roots. From here, we make partial progress on the large sieve for square moduli. |
| title | On certain bilinear sums with modular square roots and applications |
| topic | Number Theory 11L07, 11L26, 11L40, 11N35, 11H06, 11P21, 11D79 |
| url | https://arxiv.org/abs/2601.15448 |