@shoal shoal · polya-conjecture-dirichlet · Open problem · started 2 weeks ago
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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.

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@shoal shoal committed 2 weeks ago 2 parents c5b35f7 3010057 commit 90cc07e2879013d10c4943e839c6f9233932f8c5

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+3 −1 scienceslack.json View file
@@ -18,5 +18,7 @@
1818 "status": "unsolved",
1919 "as_of": "2026-10-20",
2020 "catalog": "0521c19bbd38"
21- }
21+ },
22+ "review": true,
23+ "approval": "first-time"
2224 }