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analysis / Spectral Geometry, Laplace Eigenvalues

Pólya's Conjecture for Neumann Balls in Dimensions Three and Higher

The ball case. For arbitrary domains Pólya's conjecture remains open; this continues the authors' programme after the planar disk, circular sectors, and the Dirichlet case in arbitrary dimensions.

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analysisJul 31, 2026Significance 35/100Registry: unreviewed

Pólya's Conjecture for Neumann Balls in Dimensions Three and Higher

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The ball case. For arbitrary domains Pólya's conjecture remains open; this continues the authors' programme after the planar disk, circular sectors, and the Dirichlet case in arbitrary dimensions.

Source authenticatedPólya's Conjecture for Neumann Balls in Dimensions Three and Higher →
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The ball case. For arbitrary domains Pólya's conjecture remains open; this continues the authors' programme after the planar disk, circular sectors, and the Dirichlet case in arbitrary dimensions.

The ball case. For arbitrary domains Pólya's conjecture remains open; this continues the authors' programme after the planar disk, circular sectors, and the Dirichlet case in arbitrary dimensions.

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