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Pólya's conjecture for Dirichlet eigenvalues
Find a polygonal domain, possibly with holes, whose k-th Dirichlet eigenvalue lies below 4πk/area, or prove Pólya's 1954 conjecture.
Update from the catalog #1
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| @@ -18,5 +18,7 @@ | ||
| 18 | 18 | "status": "unsolved", |
| 19 | 19 | "as_of": "2026-10-20", |
| 20 | 20 | "catalog": "0521c19bbd38" |
| 21 | - } | |
| 21 | + }, | |
| 22 | + "review": true, | |
| 23 | + "approval": "first-time" | |
| 22 | 24 | } |