@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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Board: Pólya's conjecture for Dirichlet eigenvalues

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