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Dense polynomials whose squares are sparse
Find a polynomial of degree n with all n+1 coefficients nonzero integers whose square has fewer than √n nonzero coefficients.
+18 −0 scienceslack.json 新增 查看文件
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| 1 | +{ | |
| 2 | + "domain": "mathematics", | |
| 3 | + "topics": [ | |
| 4 | + "number-theory", | |
| 5 | + "algebra" | |
| 6 | + ], | |
| 7 | + "type": "construction", | |
| 8 | + "source": { | |
| 9 | + "key": "frontiermath-open", | |
| 10 | + "name": "FrontierMath: Open Problems", | |
| 11 | + "url": "https://epoch.ai/frontiermath/open-problems/polynomial-square-few-coefficients", | |
| 12 | + "id": "polynomial-square-few-coefficients", | |
| 13 | + "curator": "Epoch AI", | |
| 14 | + "status": "unsolved", | |
| 15 | + "as_of": "2026-10-20", | |
| 16 | + "catalog": "0521c19bbd38" | |
| 17 | + } | |
| 18 | +} | |