The inverse Sieve problem in high dimensions
We show that if a big set of integer points S ⊆ [0, N] d, d > 1, occupies few residue classes mod p for many primes p, then it must essentially lie in the solution set of some polynomial equation of low degree. This answers a question of Helfgott and Venkatesh. © 2012.
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00127094_v161_n10_p2001_Walsh |
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todo:paper_00127094_v161_n10_p2001_Walsh2023-10-03T14:10:24Z The inverse Sieve problem in high dimensions Walsh, M.N. We show that if a big set of integer points S ⊆ [0, N] d, d > 1, occupies few residue classes mod p for many primes p, then it must essentially lie in the solution set of some polynomial equation of low degree. This answers a question of Helfgott and Venkatesh. © 2012. Fil:Walsh, M.N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00127094_v161_n10_p2001_Walsh |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We show that if a big set of integer points S ⊆ [0, N] d, d > 1, occupies few residue classes mod p for many primes p, then it must essentially lie in the solution set of some polynomial equation of low degree. This answers a question of Helfgott and Venkatesh. © 2012. |
| format |
JOUR |
| author |
Walsh, M.N. |
| spellingShingle |
Walsh, M.N. The inverse Sieve problem in high dimensions |
| author_facet |
Walsh, M.N. |
| author_sort |
Walsh, M.N. |
| title |
The inverse Sieve problem in high dimensions |
| title_short |
The inverse Sieve problem in high dimensions |
| title_full |
The inverse Sieve problem in high dimensions |
| title_fullStr |
The inverse Sieve problem in high dimensions |
| title_full_unstemmed |
The inverse Sieve problem in high dimensions |
| title_sort |
inverse sieve problem in high dimensions |
| url |
http://hdl.handle.net/20.500.12110/paper_00127094_v161_n10_p2001_Walsh |
| work_keys_str_mv |
AT walshmn theinversesieveprobleminhighdimensions AT walshmn inversesieveprobleminhighdimensions |
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1807320176568303616 |